Hard Math Word Problems to practice

A large wall map is drawn so that 1 inch equals 3 miles. On the map, the distance from Kansas City to Denver is 192 1/2 inches. How far is the round trip from Kansas City to Denver in miles? A. 192 1/2 miles B. 577 1/5 miles C. 385 miles D. 1,155 miles

192.5 • 3 to get distance in miles then double the answer to account for both legs of the trip. D. 1,155 miles

A noncommissioned office challenged her platoon of 11 enlisted women to beat her record of performing a 26-mile training run in 4 hours. If all the enlisted women match her record how many total miles will they have a run?

26•11 = 286 they matched her record.

Farmer Beth has received an offer to sell her 320-acre farm for $3,000 per acre. She agrees to give the buyer $96,000 worth of land. What fraction of Farmer Beth's land is the buyer getting? A.1/4 B.1/10 C.1/5 D.2/3

96,000/3,000= 32 acres 32 acres / 320 acres (total of the farm) = 10% 10% = 1/10 B

In the military, 1/4 of an enlisted persons Time is spent sleeping and eating, 1/12 is spent standing at attention, 1/6 is spent staying fit, 2/5 is spent working. The rest of the time is spent at the enlisted persons own discretion how many hours per day does this discretionary time amount to. A. 6 hours B. 1.6 hours C. 2.4 hours D. 3.2

Calculate this answer by assigning a common denominator of 60. 4• 15 = 60 12 • 5 = 60 6 • 10 = 60 5 • 12 = 60 add the fractions together the total time is 54/60 54+6 would get you 60 to make a whole of 60/60 So 6/60 is left or 1/10 1/10 of 24 hours is 2.4 hours

To buy a new car priced at $32,000, Martha takes out a five-year loan with a simple interest rate of 6.5%. By the time she owns the car , how much will she have paid including principal and interest?

Formula for interest = principal x rate x time Interest = 32,000(0.065)(5) Interest = 10,400 Add interest to principal 32,000 + 10,400 = 42,400

It takes Steve 56 hours to paint his fence. If his 3 children each work 7 hours per day with him, how many days will it take Steve and the children to paint the fence, assuming they all work at the same rate? A 2 B 4 C 2.5 D 1

Four people are working on a fence for 7 hours a day so (4)(7) = 28 56/28 = 2 A. 2

Jack eats 3 hot dogs per minute, while Jeff eats two hot dogs per minute. How many total hot dogs do they eat in 12 minutes? A. 35 B. 40 C. 60 D. 65

If he eats 3 hot dogs in 1 minute you know he eats 3(12) = 36 in 12 minutes If Jeff eats 2 per minute, he eats 2(12) = 24 in 12 minutes . Add 36 + 24 =60

Larry travel 60 mph going to a friends house in 15 mph coming back using the same road he drives a total of five hours what is the distance from Larry's house to his friends house rounded to the nearest mile. A 110 B 126 C 136 D 154

Let XP the distance travel to lose friends house the time it takes to drive to the house looks like this. Distance/by speed equals X divided by 60 The time it takes to return looks like this Distance/speed equals X divided by 50 The the total time to travel in return is five hours therefore, x/50 + x/60 = 5 6x/300 + 5x/300 = 5 11x/300 = 5 11x = 1,500 x ~ 136.36

The simple interest on Jerry's fixed sum of money depends on the length of time the money is invested. If it draws $60 in 4 months, how much will it draw in 1.5 years? A. $320 B. $240 C. $270 D. $200

Let i = the interest earned in 1.5 years and convert 1.5 years to months ( 12 x 1.5 = 18 months ). Set up a proportion that represents the ratios of interest earned to time invested: 60/i = 4/18 60/i = 2/9 Cross-multiply to solve 2i = 540 i = $270

Margaret and Julie's can sell their tattoo Parlor for $150,000. They plan to divide the proceeds according to the ratio of the money they each invested in the business. Margaret put in the most money at a 3:2 ratio to Julie's contribution how much money should Julie get from the sale. A. $50,000 B. $30,000 C. $60,000 D. $90,000

Margaret gets 3/5 and Julie 2/5 of the money. To calculate this add both sides of the ratio together (3+2=5) this is the denominator each part of the ratio is the numerator. Multiply the total amount of the money by the fraction- Julie's share multiply $150,000 • 2 then divide by 5. To figure out Julie's share of the money. C. $60,000

What will it cost to carpet a room 10 feet wide and 12 feet long if carpet costs $12.51 per square yard? A. $166.80 B. $213.50 C. $186.23 D. $165.12

The room measures 10x2 =120 square feet. There are 3 feet in yard, 1 square yard = 9 square feet. 120/9 = 13 1/3 square yards Now just multiply to find the total price of the carpet: 13.333 x $12.51 = $166.80

A bag of sand hold 1 ft.³ of sand how many bags of sand are needed to fill a square sandbox measuring 5 feet long and 1 foot high?

V=lwh if it's 5ft long then it's probably 5ft wide(cube) each bag holds 1 cubic foot of sand 5•5•1 = 25 25/1 = 25

The cost of 4 shirts, 4 pairs of dress pants, and 2 ties is $560. A shirt twice as much as a tie, and a pair of pants costs $70 more than a tie. What is the total cost of 1 shirt, 1 pair dress pants, and 1 tie? A. $150 B. $230 C. $175 D. $195

s-price of one shirt p-the price of one pair of dress pants t-the price of one tie s= 2t pair of pants costs $70 more than a tie t+70 which mean p=t+70 To find out how much 1 shirt 1 pair of dress pants and 1 tie costs multiply these values 2,4,4 respectively to get a sum of 560 ( 2t ) + (2t x 4) + (( t+70)4) = 560 2t + 8t + 4t + 280 = 560 14t + 280 = 560 14t = 280 14 14 t= 20