Solving Word Problems

Practice Questions

ACT Math Test › Solving Word Problems

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1

Eight times one-third of a number is one greater than five times one half of that number. What is that number?

2

Olivia bought a telescope that was marked at a 25% discount off of the retail price. If the retail price before the discount was dollars and Olivia had to pay a 9% sales tax on the price that she paid, which of the following represents the amount of sales tax that Olivia paid?

3

George uses a coupon to get a 20% discount on a pizza, which normally costs dollars. He then gives the delivery driver a 15% tip on the price that he paid for the pizza. Which of the following represents George's total cost for the pizza, inclusive of tip?

4

On the first day of the week, a bakery had an inventory of 450 loaves of bread. It bakes 210 loaves of bread and sells 240 loaves of bread each day that it is open, and then closes for a baking day when it runs out of loaves. How many days can it be open before it must close for a baking day?

5

The length of a rectangular picture frame is 4 inches longer than the width of the frame. If the length is represented as , which of the following expresses the perimeter of the picture frame, in inches?

6

If 75 gallons of water were added to a pool that is half full, the pool would then be full. How many gallons of water does the pool hold when it is full?

7

A movie theater snack bar charges $4 for each box of popcorn and $2.50 for each soda. On a particular day, the snack bar sold a total of 31 items and earned a total of $100. Which of the following systems of equations could be used to solve for the number of boxes of popcorn, , and number of sodas, , the snack bar sold that day?

8

Of the 480 cars on the lot at a dealership, are hybrids. If of the hybrids were to be sold, what fraction of the total number of cars on the lot would hybrids then represent?

9

Five years ago, Juliet was three times as old as Will. If Juliet is currently twice as old as Will, how old is Juliet?

10

Katharine currently has $10,000 saved for a down payment on purchasing her first house, which she can do when her savings has reached $50,000. Each month she earns $6,500 but incurs $4,000 in expenses. If her earnings and expenses remain constant, how many months will it take until she has reached her savings goal?

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