Comparing Solving Ratios

ratio

• A comparison of two quantities by division

• A technique of problem-solving that uses the units that are part of a measurement to help solve the problem

• to multiply or divide two related quantities by the same number

• A scale written as a ratio without units in simplest form

When determining if two ratios are equivalent you can

• cross multiply the numbers to see if you get the same answer

• ask a neighbor

• skip the problem

• guess on the answer

What is the ratio of red apples to green apples

• 7 apples to 3 green

• 4 red apples to 7 apples

• 4 red apples to 3 green apples

• 3 green apples to 4 red apples

• Talia
• Marisol
• Nina
• Joanne

• 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.

Use equivalent ratios to find the unknown value.

• 3

• 5

• 30

• 35

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

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
• =