Word Problems

Cost

1.A calculator has a regular price of $59.95 before taxes.
It goes on sale at 20% below the regular price. Before
taxes are added, what is the sale price of the calculator?

2019 June(B02) Math Question 1

1. Bella sells real estate. She is paid 3% of the sale price of every house she sells. What is Bella paid for selling a house at the sale price of $250,000 ?

2014 December(72G) Math Question 1

2019 April(B04) Math Question 2

2019 June(72F) Math Question 2

2011 April(67F) Math Question 2

2. Disregarding sales tax, how much will you save when you buy a $12.00 compact disc that is on sale for 25% off?

2014 June(72C) Math Question 2

2010 June(68C) Math Question 2

2012 June(70C) Math Question 3

2020 June(C02) Math Question 3

4. Jorge's current hourly wage for working at Denti Smiles is $12.00. Jorge was told that at the beginning of next, month, his new hourly wage will be an increase of 6% of his current hourly wage. What will be Jorge's new hourly wage?

2014 June(72C) Math Question 4

2013 December(71E) Math Question 5

2010 April(68G) Math Question 5

5. Hai has $100 available to buy USB drives to back up data for his business computers. Each USB drive has a price of $8, and Hai will pay a sales tax of 7% of the total price of the USB drives. What is the maximum number of USB drives Hai can buy?

2015 April(73G) Math Question 5

6. Damon and 4 of his coworkers are having lunch. Each of the 5 people will pay for his or her own lunch, but they agree to divide the tip equally among themselves. The total for the 5 lunches is $80.00, and the group will add a tip of 15% of the total. Each person's portion of the tip will be how much?

2015 December(72E) Math Question 6

2012 April(70G) Math Question 7

2009 June(67C) Math Question 8

9. Dmitry bought a pair of pants at the discounted price of $30. The original price of the pants was $40. What was the percent of the discount?

2017 June(74C) Math Question 9

2012 December(71A) Math Question 10

2010 December(69A) Math Question 11

11. Ben is saving money to buy a TV that costs $495, including tax. Ben opens a savings account with a deposit of $75 and deposits $65 at the end of each month. What is the minimum number of months Ben will need to make deposits until he has enough money in his account to buy the TV ?

2016 December(74H) Math Question 11

13. At his job, the first 40 hours of each week that Thomas works is regular time, and any additional time that he works is overtime. Thomas gets paid $15  per hour during regular time. During overtime Thomas gets paid 1.5 times as much as he gets paid during regular time. Thomas works 46 hours in 1 week and gets $117 in deductions taken out of his pay for this week. After the deductions are taken out, how much of Thomas’s pay for this week remains?

2021 April(Z04) Math Question 13

13. Christopher bought 4 cans of soup for a total of $3.36, which included sales tax of $0.16. At the same per-can cost, what is the cost before the sales tax is added for 6 cans of the same soup?

2014 April(71H) Math Question 13

14. At Sweet Stuff Fresh Produce the price of a bag of grapes depends on the total number of bags purchased at 1 time, as shown in the table below. In 2 trips to Sweet Stuff this week, Janelle purchased 3 bags of grapes on Monday and 4 bags of grapes on Wednesday. How much money would Janelle have saved if she had instead purchased 7 bags of grapes in 1 trip on Monday?

2021 April(Z04) Math Question 14

2009 December(68A) Math Question 16

17. T-shirts are on sale for D dollars each, including tax. Valentina has N dollars with which to purchase T-shirts. After she purchases the maximum number she can, Q T-shirts, she has R dollars left. For all possible choices of D and N, which of the following equations models a correct relationship between D, N, Q, and R, as defined?

2021 June(D06) Math Question 17

2012 April(70G) Math Question 20

20. Yolanda is calculating the weekly payroll for her small business. One employee earns $7.20 per hour and has worked 4 days this week: 9 hours the first day, 8 hours the second day, 6 hours the third day, and 7 hours the fourth day. Which of the following is the employee’s pay for this week, before any deductions are made?

Algebraic Problems

2020 December(D03) Math Question 20

2010 April(68G) Math Question 22

23. Keanu bought a new laptop computer and paid a discount price that was 20% less than the $1,000 list price. He also paid tax on the laptop equal to 6% of the discount price. What is the total amount Keanu paid for the laptop computer?

2016 April(73E) Math Question 23

24. John told Raquel that if he spent up to $30 from his savings account, his savings account would have at least 3/4 as much in it as it has now. From John's statement, Raquel can deduce that the least amount of money that John could have in his savings account now is:

2014 December(72G) Math Question 24

2010 June(68C) Math Question 29

32. What was the total cost, including sales tax, of the fertilizer, plants, and mulch that the landscaper purchased?

2014 December(72G) Math Question 32

2012 June(70C) Math Question 34

34. To the nearest $0.10, what was the price of the bag of balloons?

Sales tax

2021 December(E23) Math Question 34

35. Use the following information to answer questions 35–38. Many humans carry the gene Yq77. The Yq test determines, with 100% accuracy, whether a human carries Yq77. If a Yq test result is positive, the human carries the Yq77 gene. If a Yq  test result is negative, the human does NOT carry Yq77. Sam designed a less expensive test for Yq77 called the Sam77  test. It produces some incorrect results. To determine the accuracy of the Sam77  test, both tests were administered to 1,000 volunteers. The results from this administration are summarized in the table below. 35. It cost $2,500 to administer each Yq  test and $50 to administer each Sam77 test. What was the total cost to administer both tests to all the volunteers?

2021 April(Z04) Math Question 35

2010 June(68C) Math Question 42

43. The annual property tax for Condo X is 2% of its assessed value. What is the assessed value of Condo X?

2021 June(D06) Math Question 43

2018 December(B05) Math Question 45

2019 April(B04) Math Question 45

45. At Mort’s Sporting Goods Store, the sale price of a pair of athletic shoes is 30% off the regular price of the shoes. The sale price of the shoes is $84.00. What is the regular price of the shoes?

2020 December(D03) Math Question 45

51. Terri will offer a coupon in the local newspaper for 20% off the regular price of a dress. What is the regular price Terri must set for a Style B dress so that the sale price using the coupon is exactly $15.00 more than the cost of producing 1 Style B dress?

Percentage Increase / Decrease

2021 April(D05) Math Question 51

2009 June(67C) Math Question 51

52. The labor cost of each dress is 40% of the production cost. What is the average labor cost per dress for 1 dress of each of the 5 styles?

CostWord ProblemsACT math questions

2019 June(B02) Math Question 1

2014 December(72G) Math Question 1