Compare Quantities in Ratios

a way to compare two different quantities

• vertical line

• unit price

• ratio

• corresponding

the part of the rate that is being compared to 1

• calculate

• unit rate

• compare

• plotted point

two or more ratios that are equal to one another

• equivalent ratios

• convert

• whole

• calculate

Two pet stores both sell canaries and parrots. The ratio of canaries to parrots for each store is shown in the double number lines. Are the ratios equivalent? Explain how you know.

Both double number lines have the same number of parrots, of ​ (a)   parrots. If we look at the numbers with 18, pet store 1 has ​ (b)   canaries and pet store 2 has ​ (c)   canaries. These numbers are the ​ (d)   . So, then, the ratios are ​ (e)   .

• equivalent

• not equivalent

• 18

• 30

• same

• 27

• 12

• 45

• different

• 20

• Talia
• Marisol
• Nina
• Joanne

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.

• Talia
• Marisol
• Nina
• Joanne

Compare the ratios in the tables. Are they equivalent? Explain.

The ratio of peanuts to raisins in Sam’s trail mix is ​ (a)   the ratio of peanuts to raisins in Liam’s trail mix because 10/6 ​ (b)   9/6.

The ratios are ​ (c)  

• not equivalent.
• >
• <
• greater than
• less than
• equal to
• equivalent
• =

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.

• A
• B
• C
• D