Ratio Problems
Finding the Original Amount
Finding the new amount
Finding the percentage
100

Ross drives 320 miles in 5 hours. If Ross continues to drive at the same rate, how many miles can he drive in 10 hours?

640 miles

100

71 is 71% of what amount?

100

100

What is 150% of $22 

$33

100

8 is what percent of 16?

50%

200

A city has 5 new houses for every 8 old houses. If there are 30 new houses in the city, how many old houses are there?

48 old houses

200

252 is 72% of what number?

350

200

Joe borrowed $2,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 5 years?

$700

200

32 is what percent of 12? Round to the nearest whole percentage.

267%

300

Mr. Wells runs a telecommunications company. While going through the company's project records, he found that there were 8 engineers under every team leader and 5 project managers for every 50 engineers. Mr. Wells currently employs 15 team leaders.


How many project managers are employed by Mr. Wells?

12 project managers

300

A number increased by 20% is equal to 12. What is the original number?

10

300

Martin finds a shirt on sale for 10% off at a department store. The original price was $20. Martin must also pay 8.5% sales tax. What is the final price of the shirt after discount and tax?

$19.53
300

Hannah serves tables at a restaurant. The first table she served on a Monday paid her $78.20. The bill amount was $68.00, and the rest was Hannah's tip. What percentage of the bill was Hannah tipped?

15%

400

Mike is making a nut mixture for an upcoming camping trip. He makes the mixture by combining  of a cup of cashews and  of a cup of almonds. If he wants to add cashews and almonds in the same ratio to make 28 cups of the mixture, how many cups of cashews and almonds will he need?

16 cups of cashews and 12 cups of almonds

400

A number decreased by 18 percent is 738. What was the original number?

900
400

Sonia works at a sporting goods store. She earns $415 per week plus a 5.25% commission on her sales. One week, her sales are $2,200. What is her total income for the week?

$530.50

400

Jessica is collecting aluminum cans during the summer for a recycling project. She collected 120 aluminum cans in June and 150 aluminum cans in July.

What is the percentage change of the number of cans she collected in June to the number of cans she collected in July?

25% increase

500

Sandy's orchard has only apple trees and pear trees and she is wanting to add some avocado trees. Currently, there are 4 apple trees for every 3 pear trees. She is wanting to plant enough avocado trees so that she has 2 avocado trees for every 5 pear trees in the orchard.

If Sandy is planting 18 avocado trees, what is the ratio of avocado trees to apple trees?

3 to 10

500

A number increased by 20 percent and decreased by 50 percent is equal to 60. What was the original number?

100

500

A family of five went out to dinner at HogTastic Pit BBQ. They all ordered the buffet and drink at $12.80 each. They left a 15% gratuity for the waitress on the after-tax bill. Based on a tax rate of 7.5%, they ended up paying a total of  _______

$79.12

500

Mr. Davies opened a new retail store. During the first week, 360 customers visited the store. During the second week, 300 customers visited the store.

What is the percentage change of the number of customers that visited the store in the first week to the number of customers that visited the store in the second week? (please make sure to write increase/decrease)

16.7% decrease

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