Rates, Ratios and Percents

Perry traveled at an average speed of 55 miles per hour for 3.5 hours and then traveled at an average speed of 60 miles per hour for 2.5 hours. What was the total distance in miles that Perry traveled during this time?

• 347.5 mi

• 330 mi

• 360 mi

• 342.5 mi

The owner of a bookstore buys used books from customers for $1.50 each. The owner then resells the books for 400% of the amount that he paid for them.

What is the price of a used book in this bookstore?

• $5.50

• $2.10

• $4.00

• $6.00

The manager of a coffee shop recorded the number of customers who put vanilla creamer or chocolate creamer in their coffee during 1 hour and classified them by age. The results are shown in the table.

What percentage of these customers put chocolate creamer in their coffee during this hour?

• 30%

• 14%

• 70%

• 75%

A musician wants to buy sound equipment. He saved $750. He plans to add $130 this amount every month for the next 12 months and not spend any of the money that he saves until he can afford the equipment. Which percentage is closest to the percent increase from the original amount of money he saved to the amount he will have at the end of 12 months?

• 480%

• 32%

• 208%

• 68%

Kimberly was walking at a rate of 3 miles per hour. At this rate, how far could we expect her to walk in 6 hours? 
*Which choices shows the correct way to set up the proportion to solve this question?*

• 3⁄1=6⁄_x

• 1⁄3=^x⁄6

• 3⁄6=^x⁄1

• 3⁄1=^x⁄6

Greg can draw 3 pictures in fifteen minutes. At this rate, how long could we expect it to take him to draw 60 pictures?
*Which choices shows the correct cross multiplication after the proportion?*

• 60x=45

• 15x=180

• 3x=900

• 45x=900

On Friday, Biannka spent 25% of her money. She had $550.00 total in her bank account. How much money did she spend on Friday? 
*Which choices shows the correct way to set up this question?*

• 25⁄550=^x⁄100

• 550⁄100=25⁄_x

• 100⁄25=^x⁄550

• ^x⁄550=25⁄100

Rafael is painting his house. He has 800 square feet of walls in his house. He plans to paint 216 square feet of the walls. What percent of the walls in his house will he paint?
*Which choices shows the correct equation found after the proportion?*

• 800x=21,600

• 21,600x=800

• 216x=80,000

• 80,000x=216

There were 415 people at the soccer game last week. 15% of those people were parents. Which is closest to the number of parents at the concert?
*Which choices shows the correct way to solve this question?*

• ^x⁄100=15⁄415

• 100⁄x=15⁄415

• ^x⁄415=15⁄100

• 415⁄100=15⁄_x

Shelby purchased a coat for $101.50 that was regularly priced at $145, not including tax. What percent did Shelby save by purchasing that coat on sale?
*Is this a percent increase, percent decrease, sales tax, or income tax?*

• sales tax

• percent increase

• income tax

• percent decrease