Compare Ratios Proportional

A relationship in which for every x units of one quantity there are y units of another quantity.

• Rates

• Ratio

• Unit Rate

• Equivalent Ratio

Ratios that have different numbers but represent the same relationship.

• Rate

• Ratio

• Equivalent Ratio

• Unit Rate

Any relationship that is always in the same ratio. The number of apples in a crop, for example, is proportional to the number of trees in the orchard, the ratio of proportionality being the average number of apples per tree.

• Constant

• Proportional

• Proportionality

• Constant of Proportionality

• Tulsi

• Gary

• They have the same ratio

Answer explanation

Chris and Jenny are comparing two similar punch recipes. Each recipe calls for cranberry juice and ginger ale but in different amounts. The tables to the left show the amounts of cranberry juice and ginger ale for four different quantities of punch. Is the ratio of the punch that is cranberry juice the same in Chris’s recipes as it is in Jenny’s recipes? If not, whose punch has a greater concentration of cranberry juice?

• No, there is no way to determine this.

• Chris had a higher concentration of cranberry juice. You have to extend the table for Chris. When Chris and Jenny both used 10 cups of cranberry juice. Chris had 40 cups of ginger ale and Jenny had 15 so Chris had a higher concentration of cranberry juice which means you can taste the cranberries more in his juice.

• Jenny had a higher concentration of cranberry juice. You have to extend the table for Chris. When Chris and Jenny both used 10 cups of cranberry juice. Chris had 40 cups of ginger ale and Jenny had 15 so Jenny had a higher concentration of cranberry juice because she used less ginger ale.

• Chris had a higher concentration of cranberry juice. You have to extend the table for Chris. When Chris and Jenny both used 10 cups of cranberry juice. Chris had 40 cups of ginger ale and Jenny had 15 so, Chris had a higher concentration of cranberry juice than ginger ale because he used more ginger ale.

Aiko has 5 shirts for every 3 pairs of pants. Her brother Haro has 7 shirts for every 4 pairs of pants. Complete the ratio tables to help you. Which sibling has the greater ratio of shirts to pants?

• Aiko

• Haro

Which person has the greater ratio relationship of words to minutes?

• Jenna

• Maria

• They are equivalent.

Which two baseball teams have equivalent ratios of walks to the number of runs scored?

• Cubs and Red Sox

• Red Sox and Yankees

• Cubs and Yankees

• Yankees and Braves

Review: Match the following:

• Ratio

• A rate for one of something. $1 per candy bar.

• Rate

• Compares two numbers of different measures. 6 books in 3 days.

• Unit Rate

• Two ratios that represent the same amount: 1/2 = 5/10

• Equivalent

• Compares two numbers: 1:2

Are the rates equivalent?

• Yes, they are equivalent.

• No, they are not equivalent.