Comparing Situations by Examining Ratios

A slug travels 3 centimeters in 3 seconds. A snail travels 6 centimeters in 6 seconds. Both travel at constant speeds. Mai says, “The snail was traveling faster because it went a greater distance.” Do you agree with Mai? Explain or show your reasoning.

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Tulip bulbs are on sale at store A, at 5 for $11.00, and the regular price at store B is 6 for $13. Is each store pricing tulip bulbs at the same rate? Explain how you know.

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A pound of ground beef costs $5. At this rate, what is the cost of: \(\frac 1 2\) pound?

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A pound of ground beef costs $5. At this rate, what is the cost of: \(\frac 1 4\) pound?

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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.

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

• Jenna

• Maria

• They are equivalent.

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

• A

• B

• C

• D

The ratio of blue cards to green cards is 2 to 5. An equivalent ratio to 2 to 5 would be ​ (a)   to ​ (b)   .

• 14

• 35

• 2

• 5

• 7

• 3

• 10

• 13

• Tulsi

• Gary

• They have the same ratio

Answer explanation