Rates, Ratios, & Proportions

Vocabulary

100

A __________ is a comparison of two quantities by division.

Ratio

200

Ratios that make the same comparison are ____________________.

equivalent ratios

300

A __________ is a comparison of two quantities that have different units.

rate

400

_______________________ are rates in which the second quantity is 1.

Unit Rates

500

A ________________ is a statement that two ratios or rates are equivalent.

Proportion

Ratios, Rates, and Unit Rates

100

Yoshi’s yogurt contains 15 calories per ounce. How many calories are in an 8-ounce container of Yoshi’s yogurt?

120 calories

200

Emily earns $7.50 per hour. How much does she earn in 3 hours?

$22.50

300

An antelope can run 152.5 miles in 2.5 hours. What is average speed of the antelope?

61 miles/hour

400

Bob and Marquis went on a trip. The first day, they drove 464 miles in 8 hours. What is their average speed for the first day of their trip?

58 mi/hr

500

A race car was attempting to set a record. The race car went 999 feet in 4.5 seconds. What is the average speed of the race car?

222 ft/sec

Solving Proportions

100

Solve.

m/30 = 28/40

m = 21

200

Solve.

8/15 = 15/u

u = 28.125

300

Solve.

24/(v+1) = 4/8

v = 47

400

Solve.

(x-3)/4 = x/2

x = -3

500

(d-5)/(d+4) = 2/3

d = 7

Proportion Word Problems

100

Isaac and his friends put up 4 tents in 60 minutes on a camping site. How long will it take to set up 5 tents?

75 minutes

200

What is 93% of 600?

558

300

What percent of 28 is 24.5?

87.5 percent

400

Alexa bought a pack of 12 cookies for $3.50 from the store. How many packs of cookies can she buy for $17.50?

5 packs of cookies

500

The ice cream shop sold 8 vanilla cones, 15 strawberry cones, and 25 chocolate cones in one evening. What percent of the cones sold were chocolate?

about 52 percent