4. word problems

question 54: Inflation typically occurs at a rate of 2% per year. If eggs cost $1.50 per dozen in the year 2000, how much would you expect them to cost in 2003? A. $1.59 B. $1.83 C. $1.89 D. $1.95 E. $2.00

A. $1.59

question 66: David buys a car for $17,500. It loses 20% of its value in the first year. He then sells it to a friend for 75% of its new value. At what price does he sell his car for? A. $10,500 B. $10,650 C. $10,700 D. $10,850 E. $11,050

A. $10,500

question 79: A computer is currently sold at a 20% profit margin. If it had it been sold at a 25% profit margin, the profit would have been $20 larger. What is the cost of the computer? A. $400 B. $420 C. $422 D. $430 E. $450

A. $400

question 52: The water level in a lake drops by 5% after a year. In the second year, it drops an additional 11% from its level after the first year. What is the net percentage drop in water level after 2 years? A. 15.45% B. 15.65% C. 15.75% D. 15.85% E. 16%

A. 15.45%

question 21: Sam, Carrie, and Mark each went on a road trip. Sam drove n miles, and Carrie drove 25 miles less than Sam. If Mark drove 10 miles less than double of what Carrie drove, how far did Mark drive? A. 2(n - 25) - 10 B. 2n - 25 + 10 C. 2n - 10 D. 2(n - 25) E. 2(n - 10)

A. 2(n - 25) - 10

question 44: The ratio of red to blue jelly beans in a jar is 1:3. If Danielle eats 2 red jelly beans and 16 blue ones, then the ratio of red to blue jelly beans becomes 2:5. How many red jelly beans were there originally? A. 22 B. 24 C. 26 D. 28 E. 30

A. 22

question 25: An apple weighs 4 ounces, while an orange weighs 6 ounces. If the weight of N apples is the same as the weight of (N - 8) oranges, what is N? A. 24 B. 27 C. 30 D. 36 E. 40

A. 24

question 15: 1,000 liters of water in a tank is completely drained by two pipes with flow rates of 0.25 liters/min and 0.75 liters/min. How much water was drained by the pipe draining at 0.25 liters/min? A. 250 liters B. 300 liters C. 400 liters D. 500 liters E. 1,000 liters

A. 250 liters

question 59: If a scientist combines 8 L of 40% by volume solution and 2 L of 10% by volume solution, what's the percent by volume of the resulting solution? A. 34% B. 36% C. 38% D. 40% E. 50%

A. 34%

question 53: Vivian drives 84 miles in 2 hours. If her average speed for the first half hour of her trip is 60 mph, then what is her average speed for the remainder of her trip? A. 36 mph B. 38 mph C. 42 mph D. 45 mph E. 48 mph

A. 36 mph

question 23: Johnny has 15 toys with a total value of $125. If some of Johnny's toys are worth $5 and the others are worth $10, how many toys does Johnny have that are worth $5? A. 5 toys B. 7 toys C. 8 toys D. 10 toys E. 13 toys

A. 5 toys

question 42: Tom gets paid both a salary and a commission for his job as a car salesman. He receives a salary of $1,500 a month + a commission of $350 for every car he sells. What is the least amount of cars Tom has to sell to make a total of at least $40,000 every year? A. 63 cars B. 68 cars C. 75 cars D. 95 cars E. 115 cars

A. 63 cars

question 35: In 3 more years, Josh's age will be twice the age his little brother will be. If the sum of their current ages is 4 times his little brother's current age, then how old is Josh right now? A. 9 years old B. 11 years old C. 13 years old D. 15 years old E. 17 years old

A. 9 years old

question 22: A set of meteor showers called the Areteids occurs every 8 months. If someone sees the Areteids on January 2002, how many more times will the meteors appear before January 2005? A. 3 times B. 4 times C. 5 times D. 6 times E. 7 times

B

question 19: If 3 cookies and 5 brownies cost $11, and 2 cookies and 10 brownies cost $16, what is the price of 1 cookie? A. $1.30 B. $1.50 C. $2.00 D. $2.30 E. $2.50

B. $1.50

question 17: A salesperson is paid an 8 percent bonus on the profits from each car sold. Each car sold makes a profit of 15 percent the retail price. If the retail price of each car is $25,000, and 40 cars sell, what is the bonus amount that the salesperson receives? A. $8,000 B. $12,000 C. $15,000 D. $18,000 E. $20,000

B. $12,000

question 9: There are 66 marbles in a jar with 2 white marbles for each blue marble, and 3 red marbles for each blue marble. How many blue marbles are in the jar? A. 7 marbles B. 11 marbles C. 23 marbles D. 35 marbles E. 42 marbles

B. 11 marbles

question 3: Cindy starts a job with an annual salary of $120,000. After a year, her annual salary becomes $135,000. What is the percentage increase in her salary? A. 12% B. 12.5% C. 15% D. 15.5% E. 17.5%

B. 12.5%

question 74: Andrew has $80 more than Charles. If the amount Charles has is 80% of what Andrew has, what percent of Charles' money does Andrew have? A. 110% B. 125% C. 137.5% D. 155% E. 167.5%

B. 125%

question 26: Matt can paint 4 fences in 2 hours. Woody can paint 3 fences in one hour. How many fences can Matt and Woody paint together in 3 hours? A. 10 fences B. 15 fences C. 17 fences D. 20 fences E. 22 fences

B. 15 fences

question 72: If a truck moves at 36 kilometers per hour, how much time does it need to travel a distance of 20 meters? A. 1 second B. 2 seconds C. 3 seconds D. 4 seconds E. 5 seconds

B. 2 seconds

question 70: If a scientist combines 2 L of 50% by volume solution and 3 L of 20% by volume solution, what's the percent by volume of the resulting solution? A. 22% B. 32% C. 35% D. 42% E. 50%

B. 32%

question 14: If a deer saw a wolf running towards it and it ran to the forest 48 feet away at 6 feet per second, and the wolf reached the forest 4 seconds after the deer, how fast was the wolf running towards the deer? Assume that the wolf travels the same distance as the deer. A. 3 feet per second B. 4 feet per second C. 5 feet per second D. 6 feet per second E. 7 feet per second

B. 4 feet per second

question 12: Mike's sister Maria was born when Mike was 8 years old. How many years will it take for Maria to be one-third of Mike's age? A. 3 years B. 4 years C. 5 years D. 6 years E. 7 years

B. 4 years

question 56: Preston is twice as old as his younger sister. In 8 more years, she will be triple what his age was 4 years ago. What is his sister's current age? A. 2 years old B. 4 years old C. 6 years old D. 8 years old E. 12 years old

B. 4 years old

question 71: A software startup employs 100 people at an average rate of $39 / hour in the US and at an average rate of $24 / hour overseas. If in total the average pay is $30 / hour, how many people are employed in the US? A. 30 people B. 40 people C. 50 people D. 60 people E. 70 people

B. 40 people

question 13: A classroom of 20 students has an average test grade of 78 points. Two new students were admitted to the class, and after these students took the test, the average of the class was 75 points. What was the score of the last student to take the test if the first newly admitted student scored 45 points? A. 40 points B. 45 points C. 50 points D. 55 points E. 60 points

B. 45 points

question 45: There are 48 total employees that work each day at a 24 hour grocery store. There are always exactly 10 employees working at any given time. What is the average working time each day of all employees? A. 3 hours B. 5 hours C. 7 hours D. 8 hours E. 10 hours

B. 5 hours

question 77: Connie can file 100 papers an hour, while Eric can file 80 papers an hour. Working together, how long will it take them to file 900 papers? A. 4 hours B. 5 hours C. 5.5 hours D. 6 hours E. 8 hours

B. 5 hours

question 75: If a buffalo saw a lion running towards it and it ran to its cave 55 meters away at 11 meters per second, and the lion reached the cave 6 seconds after the buffalo, how fast was the lion running towards the buffalo? Assume that the lion travels the same distance as the buffalo. A. 4 meters per second B. 5 meters per second C. 6 meters per second D. 7 meters per second E. 8 meters per second

B. 5 meters per second

question 27: Train A is traveling from Alpha City to Beta City and Train B is traveling from Beta City to Alpha City. Both trains start at the same time and travel toward each other on parallel tracks. The two trains pass each other just as Train A is 7/12 of the way from Alpha City to Beta City. If Train A's speed is 84 miles per hour, which of the following is Train B's speed in miles per hour? A. 55 mph B. 60 mph C. 70 mph D. 125 mph E. 144 mph

B. 60 mph

question 76: A plane takes off from Houston traveling to Minneapolis at 500 mph at 5 pm. The distance between Houston and Minneapolis is 1100 miles. In between both locations is Omaha, which is 300 miles away from Minneapolis. Omaha air traffic control is responsible for controlling planes within 200 miles of itself. At what time would Omaha air traffic control take over responsibility for the plane? All three cities are in the same time zone. A. 6:00 pm B. 6:12 pm C. 6:24 pm D. 6:36 pm E. 6:48 pm

B. 6:12 pm

question 36: A rower is able to travel 12 km in 2 hours when traveling against a current, and travel 16 km in 2 hours going with the current. What speed would the rower be able to travel if she was rowing in a calm lake (ie. water with no current)? A. 5 km/hour B. 7 km/hour C. 9 km/hour D. 11 km/hour E. 13 km/hour

B. 7 km/hour

question 38: Jack and Jill ran a race to the well. Jill runs at 5 miles an hour, and Jack runs at 6 miles an hour. After Jack finished the race, he had to wait 15 minutes before Jill finished. How long was the race? A. 6 miles B. 7.5 miles C. 9 miles D. 15 miles E. 18 miles

B. 7.5 miles

question 80: Craig invests $1,000 at Bank A and $1,000 at Bank B. At Bank A, Craig deposits his money into a new type of account that has an annual interest rate of 12% and compounds quarterly. At Bank B, he invests in a normal account with an annual interest rate of 12% compounded annually. Which investment made more money at the end of one year and by how much? A. Bank A, $2 B. Bank A, $6 C. Bank B, $2 D. Bank B, $6 E. They made the same amount of money.

B. Bank A, $6

question 37: Ron is paid $8,000 per month. He contributes 5% of his income to his retirement fund, pays 25% of his income for tax, saves 10% of his income for his children's education, and uses the rest for household duties. How much money does he spend on household duties per month? A. $3,200 B. $4,000 C. $4,800 D. $5,000 E. $6,000

C. $4,800

question 62: An antique lamp is projected to appreciate in value 12% every year for the next 10 years. If the value of the lamp two years from now is $526.85, what was the initial value of the lamp? A. $398 B. $408 C. $420 D. $428 E. $430

C. $420

question 39: Jordan started working for ABC Company in 2013. If his salary increases by 10% every year, and his salary in 2015 is $58,440, what was his starting salary in 2013? A. $44,842 B. $46,532 C. $48,298 D. $50,923 E. $53,421

C. $48,298

question 47: A car depreciates to 90% of its value each year. The car was bought 3 years ago at $10,000. What is the current value of the car? A. $1,000 B. $6,300 C. $7,290 D. $8,900 E. $9,000

C. $7,290

question 34: The ratio of red to blue marbles in a jar is 3:4, and the ratio of blue to green marbles is 3:1. If there are 9 more blue marbles than there are red marbles, how many green marbles are there? A. 9 B. 10 C. 12 D. 14 E. 16

C. 12

question 61: A discount outlet sells product X at a normal price of $12 per unit. The outlet offers the following volume discounts on product X: Order 100-150 units, receive 8 percent discount; 151-200 units, receive 10 percent discount; or order more than 200 units to receive 12 percent discount. Julia saved a discount of $216 on a volume order of product X. How many units of product X did Julia order? A. 100 units B. 144 units C. 180 units D. 210 units E. 250 units

C. 180 units

question 58: In a local kickball league, the ratio of college graduates with a graduate degree to non-college graduates is 1:8, and the ratio of college graduates without a graduate degree to non-college graduates is 2:3. If one random college graduate is picked, what is the probability that they hold a graduate degree? A. 1/24 B. 1/8 C. 3/19 D. 3/16 E. 1/2

C. 3/19

question 65: If 0.2 liters of a 50% acid solution is added to 0.4 liters of a 20% acid solution, then what is the concentration of the resulting solution? A. 25% B. 28% C. 30% D. 32% E. 34%

C. 30%

question 78: Karen buys enough cans of soda to last her 30 days. The next time Karen is at the store, she sees that the price of cans of soda is on-sale for 25% less than their original value. If Karen spends the exact same amount on cans of soda, how long will the new on-sale supply last her? A. 20 days B. 30 days C. 40 days D. 45 days E. 50 days

C. 40 days

question 10: Jane has to drive 60 km to attend a meeting. She leaves at 5 PM and drives at 60 km/hour for 20 minutes. How fast would she need to drive for the remainder of the trip to reach her meeting at exactly 6:20 PM? A. 30 km/hour B. 35 km/hour C. 40 km/hour D. 50 km/hour E. 60 km/hour

C. 40 km/hour

question 16: Megan can clean a small house in 1 hour. Her daughter can clean that same house in 2 hours. How long will they take to clean this house together? A. 20 minutes B. 30 minutes C. 40 minutes D. 50 minutes E. 60 minutes

C. 40 minutes

question 46: The speed of sound in air is 250 meters/second. The fastest aircraft travels at the speed of 3.5 miles/second. If we estimate that 1.5 kilometers = 1 mile, how much faster is the fastest aircraft than sound? A. 4,000 meters/second B. 4,500 meters/second C. 5,000 meters/second D. 6,000 meters/second E. 7,000 meters/second

C. 5,000 meters/second

question 28: In a triathlon race, 1.9 km of swimming is succeeded by 90 km of biking which in turn is succeeded by a 21.1 km run. 12 people dropped out after completing the swimming, 7 people dropped out after biking, and 44 people were able to complete the entire race. What was the sum of the total distance covered by all participants? A. 206 km B. 4,972 km C. 5,638 km D. 6,263 km E. 7,119 km

C. 5,638 km

question 5: If an engineer combines 1L of 30% by volume solution and 4L of 60% by volume solution, what's the percent by volume of the resulting solution? A. 38% B. 48% C. 54% D. 60% E. 64%

C. 54%

question 6: An airport traffic control tower is responsible for all airplanes within a 75-mile radius. A flight takes off from Austin at 5:00 AM and flies directly to Seattle, passing over Salt Lake City in the process. The distance from Salt Lake City to Seattle is 800 miles, the distance from Austin to Seattle is 2000 miles, and the airplane arrives in Seattle at 9:00 AM. Assuming the airplane travels at a constant speed, when is the air traffic control tower in Salt Lake City responsible for the airplane? Disregard any time zone changes. A. 6:58 AM to 7:13 AM B. 7:15 AM to 7:24 AM C. 7:15 AM to 7:33 AM D. 7:25 AM to 7:43 AM E. 7:25 AM to 7:45 AM

C. 7:15 AM to 7:33 AM

question 8: The average weight of three people is 75 kg. If the weight of a fourth person is 95 kg, what is the average weight of the four people together? A. 68 kg B. 75 kg C. 80 kg D. 86 kg E. 90 kg

C. 80 kg

question 64: A chemist adds a new alcohol solution to 1.5 liters of a 50% alcohol solution in order to create 2 liters of 60% alcohol solution. What must be the concentration of the new alcohol solution? A. 75% B. 80% C. 90% D. 95% E. 100%

C. 90%

question 48: Acme brand flour is mixed with XYZ brand flour in the proportion 1:2. Acme brand flour costs $1.20/kg, and XYZ brand flour costs $1.50/kg. What is the price per kilogram of the mixed flour? A. $1.25 B. $1.30 C. $1.35 D. $1.40 E. $1.45

D. $1.40

question 73: An organic avocado costs $1.30 more than a regular avocado. If the cost of a regular avocado and an organic avocado together is 300% of the cost of a regular avocado, how much does an organic avocado cost? A. $1.00 B. $1.30 C. $2.00 D. $2.60 E. $3.90

D. $2.60

question 60: A vehicle depreciates in value 30% every year. The value of the vehicle at the end of two years is $9,849. What was the initial value of the vehicle? A. $2,700 B. $12,800 C. $18,300 D. $20,100 E. $21,010

D. $20,100

question 41: Dan buys 50 hockey sticks for x dollars each. He sells all of these sticks for 30 dollars each and makes 20% in profit. How much did Dan buy each hockey stick for? A. $5 each B. $10 each C. $20 each D. $25 each E. $30 each

D. $25 each

question 67: Jamie buys a house which increases in value by 20% over the first year. In the second year, her house decreases by 20% in value from its new worth after the first year. If the value of her house after the second year is $240,000, how much did she originally buy it for? A. $235,000 B. $240,000 C. $245,000 D. $250,000 E. $255,000

D. $250,000

question 57: $4,500 is placed in an account earning 4 percent annual interest compounded quarterly. What is the balance in the account at the end of 6 months? A. $4,502.27 B. $4,504.00 C. $4,545.90 D. $4,590.45 E. $5,490.90

D. $4,590.45

question 20: Mr. Lewis gave money to his children Sam, Susie, and Joe, which they divided up in the ratio 7:8:10. Sam was given the least and received $5.40 less than Joe; Joe received the most money. How much money in total was given to the children? A. $30 B. $35 C. $40 D. $45 E. $50

D. $45

question 11: Sarah is an engineer who visits construction sites as part of her work. Whenever she is at a construction site, she requires insurance coverage. Insurance costs $12 per day, and her employer covers 60% of the cost. If Sarah works 230 days per year, and is at construction sites for 45% of her working days, what would the cost of insurance be to Sarah over 1 year? A. $465.20 B. $476.50 C. $487.70 D. $496.80 E. $512.30

D. $496.80

question 24: John receives 1% interest per month on his account, on the 15th day of each month. He makes a payment of $100 on the 20th day each month to pay off his account. If he has a balance of $1,000 on April 10th, how much balance, to the nearest dollar amount, will he have on June 25th? A. $700 B. $710 C. $721 D. $727 E. $730

D. $727

question 68: A jar of spare change has only nickels and pennies in the ratio of 3:5. If the jar contains $2.80 in total, then how many coins are in the jar? A. 95 B. 100 C. 109 D. 112 E. 115

D. 112

question 2: Jennifer is competing in a race in which she first runs 12 miles at 8 mph and then swims 2 miles at 2 mph. If she has to bike 10 miles in the last segment of the race, at what average speed must she bike in order to have an average speed of 8 mph for the entire race? A. 10 mph B. 12 mph C. 18 mph D. 20 mph E. 22 mph

D. 20 mph

question 32: Eric just bought a new pool. As he is filling it up, he realizes that the new pool has a leak. When full, the pool holds 500 gallons of water. If he is filling the pool at a rate of 5 gallons per minute, the leak is releasing water at a rate of 2.5 gallons per minute, and he keeps filling the pool until it reaches the top. How many minutes will it take for Eric to fill the pool? A. 50 minutes B. 100 minutes C. 150 minutes D. 200 minutes E. 250 minutes

D. 200 minutes

question 31: In a classroom, the ratio of the number of boys to the number of girls is 4:5. If 4 new boys join the class, the ratio of boys to girls becomes 1:1. How many students total are there in the class after the new students join? A. 20 B. 24 C. 30 D. 40 E. 48

D. 40

question 33: How many positive integers less than 30 are two less than a multiple of 5? A. 3 integers B. 4 integers C. 5 integers D. 6 integers E. 7 integers

D. 6 integers

question 7: If a chef combines 3L of 80% by volume solution and 3L of 70% by volume solution, what's the percent by volume of the resulting solution? A. 50% B. 70% C. 72.5% D. 75% E. 80%

D. 75%

question 43: Company A gets overcharged and pays 12% over the original price of $15,000 worth of paper. Company B buys the same amount of paper from a different supplier that gives them an 8% discount off the same $15,000 worth of paper. How much more does Company A spend than Company B? A. $1,200 B. $2,000 C. $2,400 D. $2,500 E. $3,000

E. $3,000

question 55: How many liters of a 5% saline solution should be added to 2.5 liters of a 1% saline solution to create a 2.5% saline solution? A. 0.5 B. 0.75 C. 1 D. 1.25 E. 1.5

E. 1.5

question 69: The ratio of 1st to 2nd graders at a summer camp is 7:9. If there are 14 more 2nd graders at the camp than there are 1st graders, then how many total students are there at the camp? A. 96 B. 98 C. 106 D. 108 E. 112

E. 112

question 40: Kelly is twice as old as her friend Jess. In ten years, Kelly will be four years older than three times Jess' current age. How old is Kelly now? A. 3 years old B. 5 years old C. 6 years old D. 8 years old E. 12 years old

E. 12 years old

question 4: Ariel's dad is 6 years older than her mom. 2 years ago, Ariel's age was a fifth of her mom's current age. If the sum of her parents' ages is 9 times her current age, what is Ariel's current age? A. 5 years old B. 9 years old C. 10 years old D. 12 years old E. 14 years old

E. 14 years old

question 49: Peter is 5 years older than his younger sibling and 2 years younger than his older sibling. If the sum of their ages is his father's age and his father is 4 times as old as Peter's younger sibling, then how old is Peter? A. 11 years old B. 12 years old C. 14 years old D. 15 years old E. 17 years old

E. 17 years old

question 50: Three consecutive even numbers have a sum of 60. What is the middle of these three numbers? A. 14 B. 16 C. 17 D. 18 E. 20

E. 20

question 51: McDowell's sells x burgers at a price of $10. How much would 2 burgers cost at McDowell's? A. x/20 B. x/5 C. 5/x D. 10/x E. 20/x

E. 20/x

question 63: The population of a colony of rabbits is modeled by X = A(1.21)t, where A is the starting population and X is the current population at time t years. If after 2 years there were 10,000 rabbits, what was the approximate starting population? A. 1,248 rabbits B. 2,515 rabbits C. 4,568 rabbits D. 4,641 rabbits E. 6,830 rabbits

E. 6,830 rabbits

question 1: Buses travel at an average speed of 30 km/hour and the trains travel at an average speed of 90 km/hour. If Peter travels 15 km by bus and 45 km by train, what is Peter's average speed during transportation (in km/hour)? A. 40 km/hour B. 53 km/hour C. 55 km/hour D. 58 km/hour E. 60 km/hour

E. 60 km/hour

question 30: Ben can mow a lawn in 2 hours, while Jake can mow the same lawn in 3 hours. How long would it take to mow the lawn if Ben and Jake worked together? A. 30 minutes B. 45 minutes C. 54 minutes D. 60 minutes E. 72 minutes

E. 72 minutes

question 18: Rob, Sam, and Dave drove from Montreal to Toronto. Rob drives at 90 km/hour for 2 hours, Sam drives at 88 km/hour for 3 hours and Dave drives at 96 km/hour for 1 hour to finish the trip. What was the average speed of travel for the entire trip? A. 88 km/hour B. 88.5 km/hour C. 89 km/hour D. 89.5 km/hour E. 90 km/hour

E. 90 km/hour

question 29: Ryan, Sarah, and Trevor each have a jug of water. Ryan has twice as much volume of water as Sarah. Sarah has three times as much volume of water as Trevor. Trevor has 15 mL of water. How much water does Ryan have? A. 15 mL B. 30 mL C. 45 mL D. 60 mL E. 90 mL

E. 90 mL