Solving Problems Using Ratio and Rates

Two slices of Dan's Famous pizza have 230 calories. How many calories would you expect to be in 5 slices of the same pizza?

• 460

• 1000

• 575

• 757

Grant paid $12 for 4 baseball card packs. How many baseball card packs can he purchase for $21?

• 48

• 8

• 12

• 7

A ​ (a)   is a type of ratio that compares quantities with different units of measure. Such as comparing miles and minutes or dollars and hours. A ​ (b)   is a comparison to ONE unit, such as miles per minute or dollars per hour. To solve any unit rate problem, you must determine the amount for 1.

• rate

• unit rate

Finding the unit rate can help determine the rate for any given value. One method is to scale down and then scale up.

Ratio Tables are helpful when solving unit rate word problems.

Whitney rode her bike 8 miles in 2 hours. At this same rate, what is the total number of miles Whitney could ride in 3 hours. Use the table and the unit rate to solve.

A ratio is a comparison between two quantities. When writing ratios, order matters!! Like fractions, ratios can be simplified.

The ratio of hearts to stars is:

The ratio of stars to hearts is:

The ratio of hearts to total shapes is:

The ratio of stars to total shapes is:

Last season the girls' volleyball team had 5 seventh grade students and 4 sixth grade students. What is the ratio of sixth grade students to seventh grade students on the volleyball team?

• 4:5

• 4:9

• 5:4

• 5:9

Oliver spent last night studying for some of his upcoming tests. He spent 15 minutes studying Science, 20 minutes studying Math, and 10 minutes studying Social Studies. What was the ratio of the number of minutes he spent studying Science to the total number of minutes he spent studying last night?

• 2:9

• 1:3

• 1:2

• 3:4