Arithmetic Reasoning

On a trip to the beach, you travel 200 miles in 300 minutes. How fast did you travel?

First convert the 300 minutes to hours by dividing by 60 (300 minutes ÷ 60 minutes/hour = 5 hours). Use the distance formula (d = rt) and substitute the known values: 200 = 5r; r = 40 mph.

Twenty-one students, or 60% of the class, passed the final exam. How many students are in the class?

Let x = the number of people in the class; 60% of x = 21, so 0.60x = 21, and x = 35.

Kiya had only one coupon for 10% off one frozen turkey breast. The turkey breasts cost $8.50 each, and Kiya wanted to buy two. How much did she pay?

One turkey breast costs $8.50 minus 10% of $8.50 (which is $0.85), or $8.50 - $0.85 = $7.65. The other turkey breast is full price, so add the two costs: $7.65 + $8.50 = $16.15.

An aircraft flies over Boondock Air Force Base at 10:20 a.m. At 10:32 a.m., the aircraft passes over Sea Side Naval Air Station, 120 miles away. How fast is the aircraft traveling?

The aircraft travels 120 miles in 12 minutes, which is 1/5th of an hour. Therefore, in 5/5 (or 1 hour), it would travel 5 × 120, or 600 miles. The aircraft is traveling 600 miles per hour.

Change the following percent to a decimal: 9%

The correct answer is 0.09 To change percents to decimals, delete the percent sign and move the decimal two places to the left. You may need to add zeros. 9% is part of 100%. When written as a decimal, 0.09 is part of 1 whole.

How many feet are in 2 miles?

The correct answer is 10,560 Since 1 mile = 5,280 feet So, 2 miles = 2 x 5,280 = 10,560 feet

How many quarts are in 3 gallons?

The correct answer is 12 Since 1 gallon = 4 quarts So 3 gallons = 3 x 4 = 12 quarts

25 is what percent of 200?

The correct answer is 12.5% Convert the given sentence into an equation. 25 = 200x, where x is the percent Solve for x x = 25/200 = 0.125 = 12.5%

A half-pint of cream is what part of a gallon?

There are 2 pints in a quart, and 4 quarts make up a gallon; therefore, a gallon contains 2 × 4 = 8 pints, or 16 half-pints. One half-pint equals 1⁄16 of a gallon.

Sandra has a piece of ribbon that is 5 yards long. She needs to cut the ribbon into pieces of 18 inches each in order to wrap presents. How many presents can she wrap with the ribbon that she has?

Careful with the unit conversions in this problem. Change the yards to inches. 5 yards = 15 feet = 180 inches. The problem asks for the number of 18 inch pieces. To find the answer, you need to divide 180 by 18. 180 / 18 = 10 pieces.

Terry earns three times more per hour than Tim. Tim earns $2 more per hour than Angie. As a group, they earn $43 per hour. What's Angie's hourly wage?

Let x equal Angie's hourly wage; x + 2 would then represent Tim's hourly wage, and 3(x + 2) would represent Terry's hourly wage. Set up your equation and solve for x: x + (x + 2) + 3(x +2) = 43 x + x + 2 + 3x + 6 = 43 5x + 8 = 43 5x = 35 x = 7

A blouse normally costs $18.50. How much money is saved if the blouse is purchased at a 20% discount?

Multiply the price of the blouse by the amount of the discount: $18.50 × 0.20 = $3.70.

Theresa bought five karaoke CDs on sale. A karaoke CD normally costs $24, but she was able to purchase the CDs for $22.50 each. How much money did Theresa save on her entire purchase?

Subtract the sale price from the regular price: $24.00 - $22.50 = $1.50. Multiply the difference by the number of CDs to find out how much Theresa saved altogether: $1.50 × 5 = $7.50.

The cost of a protein bar increased from $2.50 to $2.80. The percent increase to the $2.80 rate was how much?

First subtract the old cost from the new cost: $2.80 - $2.50 = $0.30. Then divide the difference by the old cost to find the percent difference: $0.30 ÷ $2.50 = 0.12 = 12%.

Patrick took a trip on his motorcycle. He drove at a steady speed of 50 mph, and the trip took him 3 hours. How long would the trip have taken if his speed was 40 mph?

If Patrick traveled at 50 mph for 3 hours, the trip was 3(50) or 150 miles. Recall the formula D = rt, where D = distance, r = rate, and t = time. Substitute what you know. D = 150 miles; r = 40. 150 = 40t, t = 3.75 hours

After five science tests, Sonya's average score is 89. If she gets a 95 on the sixth test, what is her new average?

If Sonya's average over five tests is 89, she has earned a total of 445 points for the five tests. Let x be the original sum of 5 tests, and solve: x/5=89 x = 445 If she received a 95 on the sixth test, that brings her new total points to 540. Dividing that by the six tests gives a new average of 90. (445 + 95)/6 = a a = 90

A farmer sold 3 pints of strawberries for $1.98 each, 5 pints of raspberries for $2.49 each, and a bushel of peaches for $5.50 at his roadside stand. How much money did the farmer make?

Multiply 3 pints of strawberries at $1.98 (3 × $1.98 = $5.94), 5 pints of raspberries at $2.49 (5 × $2.49 = $12.45), and 1 bushel of peaches at $5.50 (1 × $5.50 = $5.50). Add the products together to determine the amount of cash the farmer earned: $5.94 + $12.45 + $5.50 = $23.89.

The high school track measures one-quarter of a mile around. How many laps would you have to run in order to run three and a half miles?

Recognize that if the track is a quarter mile long, then 1 mile equals four laps. Therefore, multiply 4 times 3.5 miles; the answer is 14 laps.

If Kent reads an average of 55 pages per day, how many days will it take him to read a book of 880 pages?

Set this up as a proportion. 55 pages/1 day = 880 pages/x days Cross-multiply and solve for x. 55x = 880 x = 16 days

Elaine was born on December 15 and has lived in Minneapolis, MN, all her life. Weather records show that over the last 100 years, it has snowed on December 15 60 percent of the time. If this trend continues and Elaine lives to be 85, on how many birthdays will she probably have snow?

Set this up as a proportion. 60/100 = x/85 Multiply 85 years by 0.60 to get 51 years with snow.

A manufacturer can produce 112 shirts per hour. If a work day is 8 hours, how many shirts can be produced in 3.5 days?

Set this up as a proportion. If 112 shirts can be produced in 1 hour, then x⁡ amount of shirts can be produced in 8 hours. The proportion would look like this: 112/1 = x/8. Cross-multiply and solve for x. 1x=896. So 896 shirts can be produced in one 8-hour day. The question asks how many can be produced in 3.5 days, so multiply 896 by 3.5 to get the final answer of 3,136 shirts.

A certain relay team is made up of eight members. If each team member runs 1.2 kilometers, how many meters is the race?

Set this up as a proportion. If one member runs 1.2 km, how many m would eight members run? 1/1.2⁡ = 8/x Cross-multiply and solve. X = 8(1.2) or x =9.6 km However, the problem asks for the number of meters. 1 km = 1,000 meters, 9.6 x 1,000 = 9,600 meters

Hugo is making a wooden picture frame for a photo of his family. The wooden frame will need to be 8 inches by 10 inches. If wood costs 50 cents an inch, how much will the wood for the frame cost?

The correct answer is $18.00 To answer this question, you need to know the perimeter of the frame. For a rectangle, the formula for the perimeter is 2(length) + 2(width). If l = 10 and w = 8, then the perimeter = 2(8) + 2(10) = 36 inches. Multiply inches by price per inch to get the price of the wood needed. 36 X $0.50 = $18.00

Phillip deposited $450 in an account that earns 5% interest, compounded yearly. If he makes no further deposits, how much will be in the account after 2 years?

The correct answer is $496.13 Use the forumla, I = prt, where I is the interest, p is the principal amount, r is the rate of interest and t is the time Principal amount, p = $450, interest rate, r = 5% = 5/100 = 0.05, time, t = 2 years To find the compound interest, calculate the amount earned in the first year. Add that amount to the principal, then calculate the interest earned in the second year. Total the amount of interest earned in the two years. Year 1: I = 450 × 0.05 × 1 = $22.5 New principal = $450 + $22.5 = $472.5 Year 2: I = 472.5 × 0.05 × 1 = $ 23.63 So interest amount after 2 years = $472.5 + $23.6 = $ 496.13.

Subtract: -15 minus -12

The correct answer is -3 Step 1: The given expression can be rewritten as -15 - ( - 12) Step 2: Use the double negative rule. Two negative signs next to each other become one positive sign. -15 - ( - 12) becomes - 15 + 12 Step 3: Add integers. - 15 + 12 gives -3 Finally, you get -3

(-5)(-3)(-2) =

The correct answer is -30 Simplify using order of operations. (-5)(-3) gives 15 15(-2) gives -30 Based on the multiplication rule, a negative number multiplied with a negative number becomes a positive number. A negative number multiplied with a positive number will stay a negative number.

Simplify 3(10 - 6)(3 - 7)

The correct answer is -48 Use order of operations to simplify this. (10 - 6) gives 4 (3 - 7) gives -4 3(4)(-4) Finally you get -48. To help you remember the order, think of the acronym "PEMDAS" which stands for Parentheses, Exponents, Multiplication and Division, Adding and Subtracting. The "exponents" step was skipped in this problem because none were given.

Simplify 4 + (-8) + 2 + (-6)

The correct answer is -8 Simplify by adding from left to right. 4 + (-8) = -4 -4 + 2 = -2 -2 + (-6) becomes -8 Alternatively, you could remove the plus signs that come before the negative signs, as adding a negative is the same as subtracting.

(14)(2)(0) =

The correct answer is 0. (14)(2) becomes 28 28(0) becomes 0 Based on the Zero Property rule of multiplication, any number multiplied by zero will result in zero.

Convert the following fraction to a decimal: 3/4

The correct answer is 0.75 To change a fraction to a decimal, divide the numerator by the denominator 3/4 = 3 ÷ 4 = 0.75 8/10 is 0.8 1/2 is 0.5 17/50 is 0.34

The Kent High School Booster's Club has 250 members. In 90 days, it hopes to have a membership of 376 by initiating a Web-based membership campaign. On average, how many new members does it need to sign up each day to reach that goal?

The correct answer is 1.4 Subtract 250 from 376 to find the amount of new members it needs. The club needs to attract 126 new members within 90 days. 126 / 90 = 1.4 The club needs an average of 1.4 members each day.

Change the following decimal to a fraction: 0.008

The correct answer is 1/125 This decimal is 8 thousandths which is also 8/1000. Reduce the fraction to lowest terms. Divide the numerator by 8 and divide the denominator by 8 to reduce. Finally, you get 1/125

Subtract the following fractions: 3/4 - 1/2

The correct answer is 1/4 To add and subtract fractions the denominators must be the same. When given unlike denominators, find equivalent fractions. To do this, you need to find a common denominator which is the least common multiple (LCM) of all the denominators given. Then subtract the new numerators and simplify. The new expression is 3/4 - 2/4 Subtract the numerators, (3 - 2) / 4 = 1/4 Finally, you get 1/4 which cannot be reduced any further.

Divide the following fractions: 1/9 ÷ 2/3

The correct answer is 1/6 You cannot divide a fraction by a fraction, but you can multiply by the reciprocal. Invert the second fraction. Multiply as usual and reduce. 2/3 becomes 3/2 1 x 3 = 3 and 9 x 2 = 18. The product is 3/18 3/3 = 1. 18/3 = 6. Finally, you get 1/6

Add: 336 + 789

The correct answer is 1125 Add the numbers in each of the columns, remembering to carry. Add 6 + 9 = 15, carry the 1 Add 1 + 3 + 8 = 12, carry the 1 Add 1 + 3 + 7 = 11 Finally you get 1125

Round to the nearest tenths place: 12.8892

The correct answer is 12.9 8 is greater than 5 in the hundredths place which means this number is closer to 12.9 than 12.8. 13.0 was rounded to the ones place value. 12.89 was rounded to the hundredths place value. 12.0 was incorrectly rounded to the ones place value as 12.8 is closer to 13 than 12.

Simplify 4 + (19 - 4²)²

The correct answer is 13 Use order of operations to simplify this. The expression becomes 4 + 32 , 32 gives 9, The expression becomes now 4 + 9 Finally you get 13 To help you remember the order, think of the acronym "PEMDAS" which stands for Parentheses, Exponents, Multiplication and Division, Adding and Subtracting. The "Multiplication and Division" step was skipped in this problem because none was given.

Sue spent one-third of her life in Kansas. If Sue is 39, how many years did she spend in Kansas?

The correct answer is 13. In this problem, you need to find 1/3 of 39. Dividing 39 by 3 gives you 13.

The U.S. Treasury Department spends 3.5 cents to manufacture every quarter. 3.5 cents is what percent of the value of the coin?

The correct answer is 14% A quarter is 25 cents. Let 3.5 cents is x percent of the value of the coin. So, 3.5 = x% of 25 3.5 = x/100 × 25 Solve for x, you get x = 14 %

A person's recommended weight can be calculated using the following formula: W=11(h-40)/2 Where w = weight and h = height in inches. If Stuart is 5 feet 10 inches tall, what is his recommended weight?

The correct answer is 165 lb Step 1: Change height, h in inches Since 1 foot = 12 inches So, 5 feet = 5 x 12 = 60 inches So, h = 60 inches + 10 inches = 70 inches Step 2: Use the value of h in the given formula w = (11 * (70 - 40)) / 2 = (11 × 30) / 2 = 165 lb So, the recommended weight of Stuart is 165 lb

Simplify 3 + 5(6 - 3)

The correct answer is 18 Use order of operations. 3 + 5·3 5·3 gives 15 3 + 15 Finally you get 18 To help you remember the order, think of the acronym "PEMDAS" which stands for Parentheses, Exponents, Multiplication and Division, Adding and Subtracting. The "Exponent" step was skipped in this problem because none were given.

Subtract the following decimals: 23.51 - 20.99

The correct answer is 2.52 To subtract decimals, line up the decimal points above each other. Subtract as you would normally. Borrow when necessary. Place a decimal point inline with the others in the final answer. 23.51 20.99 ------ 02.52

Subtract 18 minus -2

The correct answer is 20 Step 1: You can rewrite the given expression as 18 - (- 2) Step 2: Use the double negative rule. Two negative signs next to each other become one positive sign. 18 - (- 2) becomes 18 + 2 Step 3: Add 18 + 2 Finally, you get 20

What is the difference between 2 meters and 180 centimeters?

The correct answer is 20 cm Step 1: Convert meter to centimeter Since 1 meter = 100 centimeter So 2 meters = 2 x 100 = 200 centimeters Step 2: Find the difference. 200 - 180 = 20 cm Finally, you get the difference between 2 meters and 180 centimeters as 20 centimeters.

The distance across the center of a volcano with a circular mouth is 75 yards. What is the distance around its mouth?

The correct answer is 235.5 yd To find the circumference of a circle given the diameter , use the formula C = πd. d = 75 Substitute the information into the formula and evaluate. C = π(75) C = (3.14)(75) = 235.5 yd. Note that π is rounded to 3.14 because it is an irrational number.

The local electronics store is holding a 20% off sale on all its products. Marla selects 2 CDs at the original price of $16.99 each. What is the price of the two CDs after the 20% discount?

The correct answer is 27.18 First, calculate the cost of the two CDs at the original price. $16.99 X 2 = $33.98. Find the percentage of the new cost by subtracting the sale percent from 100% of the original price. 100% - 20% = 80% which will be the new cost compared to the original. Convert this to a decimal. 80% becomes 0.8 Multiplying the total cost by the percentage to get the dollar amount 33.98(0.8) = $27.18

If an airplane flies at an average speed of 320 miles per hour, how long will it take to fly 1,200 miles?

The correct answer is 3.75 hours Use the formula, Distance (d) = rate (r) x time (t) r = 320, d = 1,200 Use the values of r and d in the formula, solve for t 1,200 = 320t Simplify t = 1200/320 = 3.75 hours So, the airplane will take 3.75 hours to fly 1,200 miles.

Multiply the following fractions: 3/8 x 9/18

The correct answer is 3/16 Multiply the numerators and denominators straight across. Divide by the Least Common Multiple to reduce. 3 × 9 = 27, 8 × 18 = 144 The new fraction is 27/144 27/9 = 3, 144/9 = 16. Finally, you get 3/16

What is the mean (average) of the following set of numbers? 12, 14, 18, 22, 45, 78

The correct answer is 31.5. The mean is the sum of numbers divided by the amount of numbers given. 12 + 14 + 18 + 22 + 45 + 78 = 189/6 Finally, we get 31.5⁡

Round to the nearest thousand: 34,578

The correct answer is 35,000 5 or more in the hundreds place means this number is closer to 35,000 than 34,000. 34,600 was rounded to the hundreds place. 34,080 was rounded to the tens place.

If Kevin saves $4.75 per week, how many weeks will it take him to save $266?

The correct answer is 56. You can set up an equation to solve for the number of weeks it will take Kevin to save $266. Let x equal the number of weeks Kevin will save. 266 = 4.75x x = 266 ÷ 4.75 x = 56 Kevin will take 56 weeks to save $266.

In a recent election, Joe received 32% of the votes, Samantha received 14% of the votes, Sally received 42% of the votes, and Cal received 12% of the votes. If 5,000 votes were cast, how many votes did Samantha receive?

The correct answer is 700 votes for Samantha. To calculate 14% of 5,000, multiply 5,000 by the decimal equivalent, 0.14. 5,000(0.14) = 700 votes

Rudy is training for a race. On Monday, he ran 2 km. On Tuesday, he ran 15% farther than on Monday. If he increases his running distance by the same percentage each day, on which day will he first run more than 4 km?

The correct answer is Saturday. Solve this like a compound interest problem. Monday → 2 km Tuesday → 2 km + 15% of 2 km = 2 + 0.15(2)= 2 + 0.3 = 2.3 km Wednesday → 2.3 km + 15% of 2.3 km = 2.3 + 0.15(2.3) = 2.3 + 0.35 = 2.65 km Thursday → 2.65 km + 15% of 2.65 km = 2.65 + 0.15(2.65) =2.65 + 0.4 = 3.05 km Friday → 3.05 km + 15% of 3.05 km = 3.05 + 0.15(3.05) =3.05 + 0.46 = 3.51 km Saturday → 3.5 km + 15% of 3.5 km = 3.5 + 0.15(3.5) = 3.5 + 0.52 = 4.03 km

The Metro Fitness Center has a joining fee of $125.00 per person. The Center runs a special promotion every December with a discount of 25% off the usual fee. What is the special joining fee in December?

The cost of the joining fee is $125.00. Reduce that amount by 25% by multiplying the total cost by 75% because that is the cost of the items after the discount. $125.00 x 0.75 = $93.75

Kim bought a blouse for $17.16, a skirt for $38.19, and a purse for $35.14. If she hands the clerk a $100 bill, what is her change?

This problem has two steps. First you need to add the amount spent. Then you need to subtract that amount from the $100 bill. The total amount spent is $90.49. When subtracting that from $100, the change is $9.51.

A box of chocolates has 45 pieces. If 9 pieces have nuts in them, what percentage are without nuts?

This problem needs to be completed in two steps. First, you need to determine what percent of chocolates have nuts. So, dividing 9 by 45 results in the percentage that have nuts, which is 20%. Then you subtract that from 100% to determine what percent do not have nuts. 100 - 20 = 80% of the chocolates do not have nuts.

A manufacturing plant in Detroit makes 80 cars on Monday, 78 on Tuesday, 84 on Wednesday, 77 on Thursday, and 86 on Friday. What is the average number of cars made each day?

To find the average, add the numbers and divide by the number of numbers. In this case you would add 80 +78 + 84 +77 + 86, and then divide by 5 to get an average of 81 cars per day.

Tim has run a 500-meter race four times. His times are 169 seconds, 212 seconds, 198 seconds, and 201 seconds. What is his average speed?

To find the average, add the numbers and divide by the number of numbers. In this problem Tim's times add up to 780 seconds. Dividing that number by 4 gives an average of 195 seconds. 169 + 212 + 198 + 201 = 780 780/4 = 195 seconds

A restaurant had a delivery of 12 cartons of vegetables and 36 cartons of fruit. What is the ratio of vegetable cartons to fruit cartons?

To find the ratio of one number to another, create a fraction to show the relationship. In this problem 12 cartons of vegetables are compared to 36 cartons of fruit. The resulting fraction is 12/36. Simplifying this fraction results in a ratio of 1/3. You might see this as 1:3 on the ASVAB test. 1/3, 1 to 3, and 1:3 mean the same thing.

Randy is training to run a 12-kilometer race. His training program starts at him running 3 kilometers per day for the first week and increasing that amount by 15% each week. How many kilometers will he be running per day in the fourth week?

Treat this like a compound interest problem where you calculate the increase in kilometers each week, using the increased amount as the amount to use in the calculations the next week. Week One 3 km Week Two 3 km + 0.15(3) = 3.45 km Week Three 3.45 km + 0.15(3.45) = 3.97 km Week Four 3.97 km + 0.15(3.97) = 4.57 km

Blythe sees a computer that she wants to buy. It costs $1,600. The store manager says that next week the computer will be on sale for $350 less. What percent will Blythe save, if she waits a week before purchasing the computer?

Use the following formula Percent of Change = Amount of change/starting point. In this problem we know that the amount of change is $350 and that the starting price of the computer is $1,600. Substitute that information into the formula: Percent of Change = $350.00/$1,600.00=0.219. Change that number to a percent by multiplying by 100 (or move the decimal place two places to the right) and add the percent sign: 0.219 = 21.9%

A corner table is the shape of a right triangle. One side is 3 feet, another side is 4 feet, and the third side is 5 feet. What is the area of the tabletop?

Use the following formula for finding the area of a right triangle: A =⁡ ½bh The height of the triangle is 3 feet, and the base is 4 feet. Substitute that into the formula. A =⁡ 0.5 × 4 × 3 = 6 ft⁡²

The Berkeley Department Store is running a special back-to-school sale on shoes in September. A pair of shoes costs $67.50. In October, the price increases to $87.75. What percent increase is the price in October?

Use the following formula: Percent of change = amount of change / starting point In this problem, the starting point is $67.50. The amount of change is the difference between the starting price and the ending price of $87.75. $87.75 - $67.50 = $20.25 Substitute the information into the formula: Percent of change = $20.25 / $67.50 = 0.3 Change that number to a percent by moving the decimal place two places to the right and adding the percent sign. 0.3 = 30%

Darla spent $120.37 on groceries in January, $108.45 in February, and $114.86 in March. What was the average monthly cost of Darla's groceries?

Add the three monthly amounts to determine the total amount Darla spent on groceries: $120.37 + $108.45 + $114.86 = $343.68. Divide the total by 3 to determine the average monthly cost: $114.56.

Divide the following decimals. 40.896 ÷ 12.78 =

Answer is 3.2

Six people can run three machines in the factory. How many machines can 18 people run?

Eighteen people can run three times the number of machines six people can run, because 18 = 3 × 6 (divide 18 by 6). Six people can run three machines, so multiply 3 × 3 machines = 9 machines. Therefore, 18 people can run nine machines.

A person needs 1,500 milligrams of calcium each day. For breakfast, Joel eats a bowl of cereal with milk that has 250 milligrams of calcium, a bagel with cream cheese that has 100 milligrams of calcium, and a small container of yogurt that has 225 milligrams of calcium. What percent of the daily calcium requirement does he get at breakfast?

In this problem, you need to add the amounts of calcium that Joel eats at breakfast. 250 + 100 + 225 to get his calcium intake of 575 mg. To calculate the percentage, divide the required amount into 575. 575/1500=38%

How many pounds of nails costing $7 per pound must be mixed with 6 pounds of nails costing $3 per pound to yield a mixture costing $4 per pound?

Let x = the number of nails costing $7 per pound. The total cost of the mixture (M) equals the sum of the cost for each type of nail, or M = A + B, where A = 7x, B = 3(6), and M = 4(6 + x). Substitute the known values into the equation and solve for x: 4(6 + x) = 7x + 18 24 + 4x = 7x + 18 24 - 18 = 7x - 4x 6 = 3x x = 2

A personal trainer earns a 65% commission on her training sales. If she sells $530 worth of training, how much commission does she make?

Multiply her total sales by her percent commission to find her commission: $530 × 0.65 = $344.50.

Karl is driving in Austria, where the speed limit is posted in kilometers per hour. The car's speedometer shows that he's traveling at a rate of 75 kilometers per hour. Karl knows that a kilometer is about 5/8 of a mile. Approximately how many miles per hour is Karl traveling?

One kilometer is approximately 5/8 of 1 mile, so you can multiply 75x5/8 : 75x5=375 and 375 ÷ 8 = about 46.8. Therefore, Karl was traveling at 47 miles per hour.

475 - 397

The correct answer is 78. Subtract the numbers in each column, remembering to borrow or regroup, if need be. Regroup first by borrowing from the 'tens' place; 5 becomes 15. 15 - 7. It gives 8. Regroup again by borrowing from the 'hundreds' place; 6 becomes 16. 16 - 9. It gives 7. Finally you have 78.

Marisa owns a car that uses an average of 16 miles per gallon of gas. If she recently took a trip of 1,344 miles, how many gallons of gas did she use?

The correct answer is 84 gallons. In this problem, you need to calculate the number of 16-mpg units there are in 1,344. Divide 1,344 by 16. 1344/16 = 84 gallons.

A three-digit code must be used to access a computer file. The first digit must be an A or a B. The second digit must be a number between 0 and 9. The final digit is a single letter from the alphabet from A to Z. How many possible access codes can there be?

There are two possibilities for the first digit (A or B), 10 possibilities for the second digit (0 to 9), and 26 possibilities for the third digit. Using the multiplication principle, 2 × 10 × 26 = 520 possible access codes.

At an electronics store, Sal bought a CD for $14.99, another CD for $19.99, a CD player for $49.75, and a software program for his computer for $56.59. What was his total bill?

This is a simple addition problem. Add the amounts to get the total of $141.32. $14.99 $19.99 $49.75 +$56.59 $141.32

A pasta recipe calls for 2/3 cup of tomato paste for each batch of lasagna. If Victor has 18 cups of tomato paste, how many batches of lasagna can he make?

Victor can make 27 batches of lasagna with 18 cups of tomato paste. In this problem you need to find out how many 2/3 cups are in 18 cups. So 18 ÷ 2/3 = number of batches You cannot divide by a fraction, so you must invert the fraction and multiply. The equation becomes 18 × 3/2 = (18 × 3)/2 = 54/2 = 27

Christy orders 1 pound of meat from the butcher. She wants it cut into slices each weighing 0.25 oz. How many slices will Christy receive?

1 pound = 16 ounces Divide 16 by 0.25, the weight of one slice of meat, to get the number of slices. 16/0.25 = 64 slices

Robby is twice as old as Greg. If Robby is 46 years old, how old is Greg?

Create an equation to solve this problem: Robby = 2(Greg). You are told that Robby is 46. Substitute that information into the formula: 46 = 2(Greg). Solve for Greg by dividing both sides by 2. 23 = Greg, so Greg is 23 years old.

If four pipes of equal length measure 44 feet when they're connected together, how long is each pipe?

All pipes are equal in length, so divide the total length, 44 feet, by the total number of pipes, 4. The answer, 11, is the length of each individual pipe. You can check this answer by multiplying: 4 × 11 = 44.

Jonathan's monthly take-home pay is $2,556.36. If 28 percent is routinely taken out of his pay for taxes and insurance, what is his original pay before the deductions?

Create an equation. $2,556.36 = x - 0.28x 28% for taxes means 72% is the amount left over. Use this to shorten the steps to find the original amount earned. Solve for x. $2,556.36 = 0.72x $2556.36/0.72 = $3550.50

Michael needs 55 gallons of paint to paint an apartment building. He would like to purchase the paint for the least amount of money possible. Which of the following should he buy?

Choice (A) doesn't provide enough paint (2 × 25 gal. = 50 gal.), so it's wrong. Now determine the cost of each of the other options: Choice (B): 11 × $108 = $1,188 Choice (C): 6 × $215 = $1,290 Choice (D): 55 × $23 = $1,265 The lowest price is $1,188, Choice (B).

Suzie is twice as old as Will, plus 4 years. If Will is 9, how old is Suzie?

Create an equation to solve this problem. Suzie = 2(Will) + 4 You are told that Will is 9. Substitute that information into the formula. Suzie = 2(9) + 4. Solve for Suzie. Suzie = 22

Ned works after school. When he cuts grass, he earns $6.25 per hour. When he delivers papers, he earns $5.95 per hour and when he runs errands for people, he earns $5.50 per errand. If in one week he cut grass for 6 hours, delivered papers for 11 hours, and ran 6 errands, how much money did he earn?

Create an equation to solve this problem. This problem requires both multiplication and addition. Multiply hours with amount paid per job. Then add the totals. 6($6.25) + 11($5.95) + 6($5.50) = $37.50 + $65.45 + $33.00 = $135.95

Jamie is three times as old as Francis. If Francis is 14, how old is Jamie

Create an equation to solve this problem: Jamie = 3(Francis). You are told that Francis is 14. Substitute that information into the formula. Jamie = 3(14) Solve for Jamie. Jamie = 42

Karin is as old as her two cousins combined. If Karin is 54 and one cousin is 21, how old is the second cousin? A. 13 B. 22 C. 33 D. 37

Create an equation to solve this problem. Karin = cousin 1 + cousin 2. You are told that Karin is 54 and one cousin is 21. Substitute that information into the formula. 54 = 21 + cousin 2 Solve for cousin 2 by subtracting 21 from both sides. 33 = cousin 2

Keith is driving from Reno to Kansas City to meet his girlfriend. The distance between the two cities is 1,650 miles. If Keith can average 50 miles per hour, how many hours will it take him to complete his trip?

Distance equals speed times time, so divide the total distance by Keith's average speed to find how long the trip took: 1,650 mi. ÷ 50 mph = 33 hr.

Kelly bought a painting at an antiques sale for $500 and the following day she was able to sell it for an additional $30. What percentage of the sale price was her profit?

Divide $30 by $530 ($500 + $30) to determine the percentage of the sale price that the profit comprised: 30 ÷ 530 = 0.056 = 6%.

A security guard walks the equivalent of six city blocks when he makes a circuit around the building. If he walks at a pace of eight city blocks every 30 minutes, how long will it take him to complete a circuit around the building, assuming he doesn't run into any thieves?

Divide 30 by 8 to determine how long the security guard takes to walk one city block: 30 ÷ 8 = 3.75 minutes. Then multiply 3.75 by 6, the number of blocks it takes to complete the circuit. The answer is 22.50 minutes.

A 3-yard-long ribbon was used to trim four dresses. Each dress used the same amount of ribbon. How much ribbon was used for each dress?

Divide the amount of ribbon (in yards) used by the number of dresses to determine how much ribbon (in yards) was used in each dress: 3 ÷ 4 = ¾. Three-quarters of a yard of ribbon was used to make each dress.

Joan is taking an admissions examination. If she has to get at least 40 of the 60 questions right to pass, what percent of the questions does she need to answer correctly?

Divide the number of questions she has to get right (40) by the total number of questions (60) and then multiply by 100%. This gives us 40/60 x 100% = 200/3% or 66 & 2/3%

If there are 450 members of a sports club and 60 percent are males, how many members are males?

For this problem, you need to find out what number is 60% of 450. Change the percentage to a decimal by dividing by 100. Multiply the decimal by the total members given. 450(0.6) = 270

Ellen baked 112 cookies and shared them equally with her 23 classmates. How many whole cookies each can Ellen and her classmates have?

If Ellen baked 112 cookies for herself and her 23 classmates, divide 24 into 112 to get 4.67. The question asks for the number of whole cookies, so there are 4 per person plus some fraction of a cookie left over. The correct answer is 4.

Apples are on sale for "Buy 2 pounds get 1 free." How many pounds must Janet purchase to get 2 pounds free?

If Janet must purchase 2 pounds of apples to get 1 free pound, then to get 2 free pounds, she would need to purchase twice as many apples, or 4 pounds of apples.

A teacher has assigned 192 pages of reading. If Vanessa starts reading on Monday and reads 48 pages each day, on what day will she complete the assignment?

If Vanessa has 192 pages of reading and reads 48 pages each day, on Monday she has read 48 pages, on Tuesday she has read 2(48) or 96 pages, on Wednesday she has read 3(48) or 144 pages, and on Thursday she has read 4(48) or 192 pages. Thursday is the correct answer. Another way to do this is to divide 192 by 48 to get 4. If Monday is 1, Tuesday is 2, Wednesday is 3, and Thursday is 4. Again, Thursday is the correct answer.

Brian shoots hoops with Dave, who is two years younger than Brian. If Brian is 17, how old is Dave?

The correct answer is 15. Create an equation to solve this problem. Dave = Brian - 2. You are told that Brian is 17. Substitute that information into the formula. Dave = 17-2 Dave = 15

Debbie is walking to raise money for her favorite charity. She is being sponsored by Sally at 10 cents per mile, by Lucie at 12 cents per mile, and by Kelsey at 14 cents per mile. If she walks 8 miles, how much money will she raise?

The correct answer is $2.88 Step 1: Find per mile total for contribution of Sally, Lucie and Kelsey $0.10 + $0.12 + $0.14 = $0.36 Step 2: Find contribution in 8 miles $0.36 x 8 = $2.88

On a map of the United States, 1 inch represents a distance of 50 miles. If the distance between New Town and Old Town is 450 miles, how far apart are they on the map?

Solve this question using a proportion. Cross-multiply and divide across to solve for x 1 inch/50 miles = x/450 miles Or you can also set this up algebraically. x50 = 450, solve for x. Ether method yields x = 9. So the distance on the map beween New Town and Old Town is 9 inches.

Vanessa has a drawer full of headbands. Twenty are pink, 32 are blue, and 16 are black. If she reaches into the drawer and picks out a headband at random, what is the probability that the headband will not be black?

Probability = number of favorable outcomes/ number of possible outcomes. In this problem the number of possible outcomes equals 20+32+16=68. The number of favorable outcomes is the sum of pink and blue or 20+32=52. Plug these values into the formula: 52/68 = 13/17, the correct answer when simplified

A box contains 35 white balls, 75 red balls, and 45 black balls. If Nikki picks out a ball at random, what is the probability that the ball will be white or black?

Probability = number of favorable outcomes/number of possible outcomes. In this problem, the number of favorable outcomes is a combination of white or black balls, 35 + 45 = 80. The number of total possible outcomes is 35 + 75 + 45 = 155. So substituting into the formula, the probability is 80/155, reduced to 16/31.

Samuel is saving coins in a jar so that he can purchase a software program. He has saved 94 nickels, 44 quarters, and 112 dimes. If he reaches into the jar to pick one coin at random, what is the probability that he will pick a dime?

Probability is the number of favorable outcomes to the number of possible outcomes. In this problem, a favorable outcome would be selecting a dime. There are 112 dimes or favorable outcomes. The number of possible outcomes is the sum of all the coins, in this case 94 + 44 + 112 = 250. So probability = 112/250. Simplified, using the Least Common Multiple, is 56/125.

Miriam bought five cases of motor oil on sale. A case of motor oil normally costs $24.00, but she was able to purchase the oil for $22.50 a case. How much money did Miriam save on her entire purchase?

Subtract the sale price from the regular price to find how much she saves on each case: $24.00 - $22.50 = $1.50. Multiply the answer by the total number of cases to get your final answer: $1.50 × 5 = $7.50.

Jose bought a $3,000 savings bond that earns 5 percent compounded interest per year. How much will his bond be worth after 3 years?

Simple interest problems use the formula I = prt, where I is the amount of interest in decimal form, p is the principal, r is the rate of interest, and t is the amount of time in years of accrual. For compounded interest problems, you need to calculate the simple interest for each year, add it to the principal and use that figure as the new principal for the next year. The process is repeated for each year. In this problem, the interest is compounded for 3 years, so you will calculate the interest three times, each time using the new principal. Year One Principal = $3,000 Rate = 0.05 Interest = $150 Add the interest to the principal to get $3,150. $3,150 becomes the new principal as you begin year 2. $3,307.50 becomes the new principal as you begin year 3. Finally, his bond will be worth $3,472.88 Alternately, to skip the repetition, you could use the compound interest formula one time: A=P(1+r)t

A man bought a pair of jeans for $23.00, a shirt for $14.95, and two ties for $7.98 each. What was the total cost of his clothing?

Simply add the cost of all the items: $23.00 + $14.95 + $7.98 + $7.98 = $53.91.

A balloonist circumnavigated the globe in 13 days, 12 hours, 16 minutes, and 13 seconds. A plane circumnavigates the globe in 4 days, 10 hours, 15 minutes, and 7 seconds. How much longer did it take for the balloon to go around the world?

Subtract the time of the plane from the time of the balloon to determine how much longer it took the balloonist:

Len bought several books for school at $25.16, $28.99, $35.15, $42.27, and $62.12. How much did Len spend

The correct answer is $193.69 Add the amounts vertically aligning the decimal points. Carry when necessary. $25.16 $28.99 $35.15 $42.27 + $62.12 $193.69

Change the following decimal to a percent: 0.32

The correct answer is 32% Just multiply the number by 100 or move the decimal two places to the right. 0.32 × 100 = 32%

Leah flies 5,200 miles in 11 hours. What is the average speed of her airplane in miles per hour? Round to the nearest hundredth.

The correct answer is 472.73 Divide 5,200 by 11 hours to get miles traveled in 1 hour. Algebraically, 5200/11 = x miles per hour This number continues to repeat, 472.7272 so round to the nearest tenth. Finally, you get 472.73

The product of two consecutive odd numbers is 399. What are the numbers?

The fastest way to solve this is to simply multiply the possible choices together (19 × 21 = 399). However, you can also solve this with algebra. Let x equal the first number and x + 2 equal the second number: x(x + 2) = 399 x2 + 2x = 399 This is a quadratic equation that you can solve by setting it equal to zero and factoring. x2 + 2x - 399 = 0 (x - 19)(x + 21) = 0 x - 19 = 0 or x + 21 = 0 x = 19 x = -21 x + 2 = 21 x + 2 = -19 Two solutions are possible: 19 and 21, and -21 and -19. Because the latter pair isn't one of the answer choices, the first pair is the correct answer.

Amy wants to fence in a yard using 400 feet of fencing. If she wants the yard to be 30 feet wide, how long will it be?

The formula used to determine the perimeter of a rectangle is P = 2(l + w). The width is 30, and the perimeter is 400. Plug in the numbers and solve for l: 400 = 2(l + 30) 400 = 2l + 60 340 = 2l l = 170

A teacher deposits $3,000 in a retirement fund. If she doesn't add any more money to the fund, which earns an annual interest rate of 6%, how much money will she have in 1 year?

The interest formula says that interest equals principal times rate times time, or I = Prt. To determine the amount of interest earned, multiply the principal ($3,000) by the interest rate (6%) and the number of years interest accrues (1 year): $3,000 × 0.06 × 1 = $180. Add the interest earned to the principal to show how much total money the teacher would have: $180 + $3,000 = $3,180.

The movie Gladiator earned $6 million in the first week of its showing. All movies shown that week earned $114 million. Which of the following shows the ratio of the earnings of Gladiator to the earnings of all movies that week?

The ratio would be stated as Gladiator to Total earned, 6:114 or 6/114. Simplify this fraction to get 1/19.

Stan bought a monster truck for $2,000 down and payments of $450 a month for five years. What's the total cost of the monster truck?

The total cost is the down payment plus 5 years' worth of monthly payments. Five years contain 60 months, so multiply $450 (monthly payment) × 60 = $27,000 (total payments). Then add $27,000 (total payments) + $2,000 (down payment) = $29,000 (total cost).

Miguel passed seven of his history quizzes and failed three. The fraction of quizzes he passed is correctly expressed as

The total number of quizzes is 10. If he passed seven of them, the fraction would be expressed as 7⁄10.

Barry is saving quarters in a jar so that he can buy a computer. The computer costs $950. How many quarters must Barry save in order to purchase the computer?

There are four quarters in every 1 dollar. To convert dollars to quarters multiply by 4. Barry needs to save, 4 × 950 = 3,800 quarters

Gerard throws a discus distances of 10 meters, 14.5 meters, 14.8 meters, 16.7 meters, and 15.4 meters. On his last attempt he faults, which counts as 0 meters. What is his average throwing distance?

To find the average, add the numbers and divide by the number of numbers. In this problem add 10, 14.5, 14.8, 16.7, 15.4, and 0 to get 71.4. Divide this by 6. 71.4/6 = 11.9 Caution: Don't forget that the zero counts as a number, so be sure to divide by 6, not 5.

Lyn had a birthday party and spent $9.98 on balloons, $47.23 on party favors, $16.97 on a cake, $21.77 on ice cream, and $15.15 on invitations. How much did Lyn spend on the party?

This is a simple addition problem. Add vertically and carry when necessary to get the total of $111.10. $9.98 $47.23 $16.97 $21.77 + $15.15 111.10

Lisa went to the grocery store and bought a package of hot dogs for $3.54, a package of buns for $1.79, a container of mustard for $2.10, a jar of relish for $2.16, and a bag of charcoal for $5.15. What was her total bill?

This is a simple addition problem. Line up the decimal numbers vertically. Carry when necessary. Add the amounts to get the total of $14.74.

Susan's test scores for Social Studies are 81, 76, 91, 73, and 79. What is her average score?

To find the average, add up the numbers and divide by the number of numbers. In this problem, the numbers add up to 400. Dividing that by 5 gives the correct result of 80 as the average.

Brad placed several calls on his cell phone during the first half of the month. The calls were 15 minutes, 46 minutes, 59 minutes, 83 minutes, and 114 minutes. If his plan authorizes 400 minutes, how many minutes does he have left?

This problem has two steps. First, you need to add the number of minutes Brad used. Then you need to subtract that amount from his allocation of 400 minutes. The total number of minutes used was 317, so subtracting that from 400 leaves 83 minutes. 15 + 46 + 59 + 83 + 114= 317 400 - 317 = 83

Trinidad earns $2,700 per month. If she spends $1,100 on the rent for her apartment, what percent is spent on rent to the nearest percent?

To determine the percent, you need to divide the amount Trinidad spent on rent by the amount that she earned. In this problem, $1,100 is divided by $2,700 with the result coming to 40.7%. Rounding to the nearest percent gives the correct answer of 41%.

In the Metro Bicycle Club, 6 of 48 members are females. What is the ratio of females to all club members?

To find the ratio of one number to another, create a fraction to show the relationship. In this problem, there are 6 female club members out of a total of 48 members. So the fraction that shows the relationship is 6/48. This fraction needs to be simplified by using the Least Common Multiple. This reduces to 1/8, the correct answer. You might see a ratio written as 1:8 on the ASVAB test. 1/8 and 1:8 and "1 to 8" mean the same thing.

Joan invests $4,000 in an account that earns 3% simple interest. How much will Joan have in the account in 10 years?

Use the interest formula (I = Prt) to determine the amount of interest earned, where the principal (P) is 4,000, the rate (r) is 0.03 (3%), and the time (t) is 10. I = 4,000(0.03)(10), or I = $1,200. Add the interest earned to the original amount invested: $4,000 + $1,200 = $5,200.

Arnold signs an agreement with the A-1 car rental company for a car at $25 per day plus 15 cents per mile driven. If Arnold rents the car for 2 days and drives 200 miles, how much does he owe the company?

Use the the equation. total = 25 per day + .15 per mile Substitute d = 2 and m = 200 t = 25(2) + .15(200) = $80 total for car rental

In 1968, the population of the Chicago metropolitan area was 8,435,978. In 1998, the population was 10,544,972. By about what percent did the population increase in 30 years?

Use the following formula Percent of Change = Amount of Change/ Starting Point. The starting point is 8,435,978. The amount of change is the difference between 10,544,972 and 8,435,978. You find the difference by subtracting: 10,544,972 - 8,435,978 = 2,108,994. Substitute that information into the equation. Percent of Change = 2,108,994 / 8,435,978 = 0.2499 or 25%

Phil bought two hamburgers and a milkshake for $10.30. Janice bought three hamburgers and a milkshake for $14.80. What is the cost of the two milkshakes?

Create a system of equations with two variables. 2b+m=10.30 3b+m=14.80 Note here, the only difference between the orders is the cost of one burger. Subtract the totals to find this. $14.80 - $10.30 = $4.50. Therefore, the cost of one burger is $4.50. Substitute this information into either equation and solve for m. 2(4.50)+m=10.30, m=$1.30 The problem asks for the cost of 2 milkshakes. 2($1.30)=$2.60.

A diver's score is determined by the degree of difficulty of each dive multiplied by the points awarded for that dive. The table below shows the points Wayne earned for five dives, and the degree of difficulty for each dive. What was Wayne's total score? Points Difficulty 8.2 1.2 9.0 1.4 8.3 1.5 9.5 1.4 9.5 1.2

For this problem, multiply the points by the difficulty and add the scores for each dive. (8.2 × 1.2) + (9.0 × 1.4) + (8.3 × 1.5) + (9.5 × 1.4) + (9.5 × 1.2) = 9.84 + 12.60 + 12.45 + 13.30 + 11.4 = 59.59 pts

Wayne has 256 pieces of candy that he needs to pack into boxes that hold 30 pieces each. How many pieces of candy are left over after he fills as many boxes as he can?

If Wayne has 256 pieces of candy that he packs into boxes of 30 each, he can fill 256 ÷30 = 8 boxes with 16 pieces remaining - not enough to fill another box.

A family goes to a restaurant, and the bill is $112.00. If the parents want to leave the waitperson a 15% tip, how much should they leave?

If the bill is $112.00, a tip of 15% is calculated by multiplying $112.00 by 0.15. $112.00 × 0.15 = $16.80

Bob's CD collection totals 200. If 30 CDs contain jazz music, what percent of his collection is jazz?

In order to calculate the percent, you need to divide the total number of CDs into the number of jazz CDs. In this case you would divide 200 into 30 to get 0.15. To change that to a percent, multiply by 100 (move the decimal point two places to the right), and add the percent sign to get the correct answer of 15%.

Gene was up to bat 72 times during the baseball season. If he got 54 hits, what percent of the time was he successful?

In order to calculate the percent, you need to divide the total number of times at bat into the number of hits. In this case, you would divide 54 by 72 to get 0.75. To change that to a percent, move the decimal point two places to the right and add the percent sign to get the correct answer of 75%.

Melanie's credit card bill was $4,000 in February. If her monthly interest is 18%, what will her bill be in March if she makes no payments and no new purchases?

Melanie's charge will be $4,000 plus interest of 18%. Multiply $4,000 by 1.18 (100% + 18% converted to a decimal) to get $4,720. Her bill will be $4,720 if she makes no payments and no new purchases.

Sally's rent is $750.00 each month. After two years of paying rent, how much has she spent

Multiply the monthly rent by the number of months. There are 24 months in two years. 24× $750 = $18,000

If Gary earns $53/hour during a regular workday of 8 hours and $57/hour for any work he does after 5 P.M. How much does he earn if he worked 5 regular work days and 6.5 overtime hours?

Multiply the number of hours worked by the regular rate of $53 per hour and add that to the overtime hours multiplied by the overtime rate. The number of regular hours worked is 5×8= 40 40($53) + 6.5($57) = $2,490.50.

How many square inches are in 3 square feet?

The correct answer is 432 There are 12 inches in 1 foot. Since 1 square foot = 144 square inches (12 x 12) So 3 square feet = 3 x 144 = 432 square inches

If a pound of potatoes make 24 cups of hash browns, how many pounds of potatoes would it take to make 36 cups of hash browns?

Set this up as a proportion. 1 lb/24 cups = x/36 cups Cross-multiply and solve for x. 24x = 36 x = 1.5 lb of potatoes

Sally and Peter are saving to buy a car. They deposit $10,000 into a savings account that pays simple interest at a rate of 15% per year. If a car costs $17,500, in how many years will they have enough money to buy the car?

Simple interest problems use the formula I = prt, where I is the amount of interest, p is the principal or the amount saved or invested, r is the rate of interest, and t is the amount of time in years that the interest is accruing. In this problem, the interest needed is the difference between what was invested and the amount needed to buy the car: $17,500 - $10,000 =$7,500. The principal is $10,000 and the rate is 15%. Substitute that information into the formula to get $7,500 = $10,000(0.15)t and solve for t. $7,500 =$1500t; t = 5 years.

Rene deposits $4,000 in a savings account that earns 4% simple interest per year. How much interest will she earn after 3 years?

Simple interest problems use the formula I=prt, where I is the amount of interest, p is the principal or the amount saved or invested, r is the rate of interest, and t is the amount of time in years that the interest is accruing. In this problem, you are asked to find I, given that the principal is $4,000, the rate of interest is 4%, and the amount of time is 3 years. Substitute this information into the formula; however, the rate of interest much be converted into the decimal format by dividing by 100. I = 4000(0.04)(3) = $480 of interest.

Marty is driving from Nashville, TN to Mobile, AL. The distance is 527 miles. If Marty drives 111 miles on Monday, 67 miles on Tuesday, and 211 miles on Wednesday, how many miles must he drive if he wants to reach Mobile on Thursday?

Subtract the miles already driven from the total trip. 527 - (111 + 67 + 211) = 138 Marty has driven a total of 389 miles, so he has 138 to go.

Subtract the following fractions: 2&1/2 - 2&7/8

The correct answer is 5/8 Change the mixed numbers into improper fractions. Create equivalent fractions by finding the Least Common Multiple of the denominators. Subtract the numerators. 7/2 - 23/8 becomes 28/8 - 23/8 Finally, you get 5/8 which cannot be reduced any further.

Will has $4,355.19 in his checking account. He writes checks for $1,204.90 and $890.99. How much is left in Will's account?

The correct answer is $2,259.30 To calculate the answer to this question, subtract the total checks from the current amount in the checking account. $4,355.19 - ($1,204.90 + $890.99) = $2,259.30

Danny buys a computer originally priced at $750.00, software programs originally priced at $398.75, a printer originally priced at $149.98, and a case of paper originally priced at $24.99. All items are on sale for 20% off. How much will Danny save because of the sale?

The correct answer is $264.74 Calculate the total cost of the items and then multiply by the decimal equivalency of 20% (0.20) to determine how much Danny will save. $750 + $398.75 + $149.98 + $24.99 = $1,323.72 $1,323.72(0.20) = $264.74 savings from the sale.

Al has three times as much money as Bill. Bill has two times as much money as Charlie. If Charlie has $5.89, how much money does Al have?

The correct answer is $35.34 Create equations to solve this problem. Let A= Al, B=Bill and C=Charlie A = 3B B=2C C=5.89 Substitute what you know into the formulas B = 2($5.89) = $11.78. A = 3($11.78) Finally, Al = $35.34

A club collected $585.00. If 75% of that came from membership dues, how much money came from the dues?

The correct answer is $438.75 Find the equivalent decimal to the given percent. Multiply the original amount by the percent. $585.00(0.75) = $438.75

Keisha worked 75 hours during July at a pay rate of $12.50/hour. What were her total earnings for the month before taxes and insurance were deducted?

The correct answer is $937.50 Multiply the hours worked by amount paid. So, in 75 she will earn $12.5 x 75 = $937.50

Divide the following mixed numbers: 3 & 1/2 divided by 4 & 2/9

The correct answer is 15/19 Dividing a fraction by a fraction is impossible, so inverse the second fraction and multiply as usual. This problem requires turning the mixed numbers into improper fractions before multiplying. The given expression becomes 10/3 x 9/38 = 90/114 Simplify to get 15/19

How many grams are in 2.5 kilograms?

The correct answer is 2,500 The prefix, kilo means 1,000 Since 1 kilogram = 1,000 grams So 2.5 kilograms = 2.5 x 1,000 = 2,500 grams

Julie's salary is $600 per month, but after taxes and insurance are deducted, her monthly pay check is $444. What percent of her monthly salary goes for taxes and insurance?

The correct answer is 26% Use the formula for percent change = amount of change/starting amount Step 1: Find amount of change and starting amount Here starting amount = $600 Amount of change = $600 - $444 = $156 Step 2: Use these the values of amount of change and starting amount in the formula Percent change = 156/600 = 0.26 or 26%

A ladder is placed against a building. If the ladder makes a 55° angle with the ground, what is the measure of the angle that the ladder makes with the building?

The correct answer is 35° This problem has described a triangle shape. All angles of any triangle total 180°. In this problem, you know two of the three angles of a triangle, one measuring 55° and the other measuring 90°. Let x be the missing angle that the ladder makes with the building. Solve for x. 55 + 90 + x = 180. x = 35°

Mark has saved 150 quarters in a jar. Of that total, 25 were minted before 1970, 35 were minted between 1970 and 1980, and the remaining quarters were minted after 1980. If Mark picks a quarter out of the jar without looking, what is the probability that he will pick a quarter minted after 1980?

The correct answer is 3:5 Probability = number of positive outcomes/number of possible outcomes Number of possible outcomes = 150 Step 1: Find number of positive outcomes Number of positive outcomes = number of quarters minted after 1980 Number of quarters were minted after 1980 = 150 - (25 + 35) = 90 Step 2: Use this number in the formula Probability = 90:150 Reduce to 3:5, the probability that Mark will pick a quarter minted after 1980.

How many meters are in 4 kilometers?

The correct answer is 4,000 Kilo means 1,000 Since 1 kilometer = 1,000 meters 4 kilometers = 4 x 1,000 = 4,000 meters

Josh wants to put a fence around his rectangular garden. The garden is 6 feet by 15 feet. How much fencing must he purchase?

The correct answer is 42 feet. You need to calculate the perimeter of the garden. The perimeter of a rectangle is the sum of all the sides, or use the formula P = 2l + 2w. You are given the dimensions of 6 feet and 15 feet. Substitute that information into the formula. p = 2(6) + 2(15) p = 42 feet

Cassidy answered 38 questions correctly on a test with 45 items. To the nearest whole percent, what percent did she answer correctly?

The correct answer is 84%. To calculate the percent, divide the number answered correctly by the total number of items. 38 ÷ 45 = 0.84444444 To change a decimal to a percent, move the decimal point two places to the right and add the percent sign. 0.84444444 = 84.444444% Remember to round your answer to the nearest whole percent. Cassidy answered 84% of the questions correctly.

Joanne earns $3,000 per month at her job at the department store. If her taxes are 28 percent of her pay, what is her monthly take-home pay?

The question is asking for the amount of salary she is left with after taxes. Start by finding the percentage she takes home. 100%-28%=72% Convert the percent to a decimal and multiply by the original salary. $3,000(0.72) = $2,160.00 She takes home $2,160.00 while her taxes are $840.00 every month.

Ned's physical fitness program includes a goal of 175 minutes of jogging per week. He ran 35 minutes on Monday, 44 minutes on Wednesday, 17 minutes on Thursday, and 62 minutes on Friday. How many more minutes does he need to run to reach his goal?

This problem has two steps. First, you need to add the number of minutes that Ned ran and then subtract that amount from the goal of 175 minutes. He ran 158 minutes, so he needs to run 17 minutes more to reach 175. 35 + 44 + 17 + 62 = 158 175 - 158 = 17 more minutes to reach his goal.

A box of cereal contains 45.6 oz. of cereal. If the cost of one ounce is 12¢, how much does the box of cereal cost?

To calculate the answer, multiply total ounces by price per ounce. 45.6 × 0.12 = $5.47

Simon's garden is 12 by 24 feet. He will plant bushes that require 8 sq ft of space. How many bushes can he plant?

To calculate the area of Simon's garden, use the formula A = lw A = 12 ft × 24 ft A = 288 ft⁡ 2 If each bush needs 8 ft2 of space, divide 288 by 8. 288/8 = 36 bushes.

During the first year of life, a whale gains about 30 tons of weight. What is the average weight gain per month?

To calculate the average, take the number of tons and divide by the number of months. 30/12 = 2.5 tons per month

Phil is monitoring his calorie consumption. On Monday he eats meals totaling 1,700 calories. On Tuesday he eats meals totaling 3,000 calories. On Wednesday he eats meals totaling 2,500 calories, and on Thursday his meals total 3,200 calories. What is his average calorie consumption per day?

To find the average, add the numbers and divide by the amount of numbers given. 1,700 + 3,000 + 2,500 + 3,200 = 10,400 10,400/4 = 2,600 calories.

A volleyball team won 25 games during a season of 55 games. What is the ratio of wins to losses?

To find the ratio of one number to another, create a fraction to show the relationship. In this problem, there are 25 wins in a total of 55 games. The question asks for the ratio of wins to losses, so you need to calculate the number of losses. Subtracting 25 from 55 gives the result of 30 losses. Representing this as a fraction would be 25/30 Simplifying this results in the fraction 5/6

Randy is training to cycle in a 15-kilometer race. His training program starts at cycling 5 kilometers per day for the first week and increases by 20 percent each week. How many kilometers will he be cycling per day in the fourth week?

Treat this like a compound interest problem where you calculate the increase in kilometers each week, using the increased amount as the amount to use in the calculations the next week. Week One 5 km per day Week Two 5 + 0.20(5) = 6 km per day Week Three 6 + 0.20(6) = 7.2 km per day Week Four 7.2 + 0.20(7.2) = 8.64 km per day

At the local department store, a flat screen television retails for $4,250. Manuel finds the same television for sale on the Internet for $450 less. What percent will Manuel save if he purchases the television via the Internet site?

Use the following formula: percent of change = amount of change/original amount In this problem we know that the amount of change is $450 if Manuel purchases the TV online. The starting point is the cost of the TV at the local department store, $4,250. Substitute that information into the formula: percent of change = $450/$4250 = 0.0106 Change the result to a percent by moving the decimal place two places to the right and adding the percent sign. 0.106 = 10.6%

On his 16th birthday, Gene was 60 inches tall. On his 19th birthday, he was 69 inches tall. What percent increase in height did Gene experience in the three years from his 16th to his 19th birthday?

Use the following formula: Percent of Change = Amount of Change/Starting Point In this problem we know that Gene grew from 60 to 69 inches. So the amount of change is the difference between 69 and 60, 9 inches. The starting point is his original height of 60 inches. Substitute that information into the formula. Percent of Change = 9/60 = 0.15 Change that number to a percent. 0.15 = 15%

James took a trip of 448 miles in 8 hours. What was his average speed?

Use the formula D = rt. You are given the distance of 448 miles, and the time of 8 hours. Substitute those into the formula. 448 = r8. Solve for r. r = 448/8 = 56 miles per hour

Rita earns an annual salary of $30,000. Her boss promised her that next year she will earn $32,500. What percent increase is the new salary?

Use the formula percent of change = amount of changes/starting point The amount of change is the difference between $30,000 and $32,500 or $2,500. The starting point is the original salary of $30,000. Substitute the information into the formula. percent of change = $2500/$30000 = 0.083 or an 8.3% raise

Two numbers add to 1,500. One number is 4 times the size of the other. What are the two numbers?

You are told that two numbers add up to 1,500, with one number being 4 times the size of other. Create an equation. x + 4x = 1,500. Solve for x: 5x = 1,500 x =300 4x = 1,200. So the two numbers are 300 and 1,200.