Comparing Ratios

Emilia and Darnell are arguing over who makes the best fruit punch. Emilia likes to use 2 cups of grape juice for every 5 cups of pineapple juice. Darnell prefers to use 1 cup of grape juice for every 4 cups of pineapple juice. Do Emilia and Darnell use the same ratio of grape juice to pineapple juice?

• yes

• no

Last night, Clara and her brother, Stefan, made personal pizzas for dinner. Clara put 4 pepperoni pieces and 6 ham pieces on her pizza. Stefan put 6 pepperoni pieces and 10 ham pieces on his pizza. Did Clara's and Stefan's pizzas have the same ratio of pepperoni pieces to ham pieces?

• yes

• no

Zane's cats love tuna fish, so he always mixes a little into their food at dinnertime. For his small cat, he adds 2 ounces of tuna fish to 10 ounces of cat food. For his large cat, he adds 3 ounces of tuna fish to 12 ounces of cat food. Which cat's meal tastes more like tuna fish?

• Large cat

• Small cat

• They are the same

Megan and her little sister, Nora, counted their Halloween candy after trick-or-treating. They love taffy and wanted to know who collected more taffy pieces compared to the rest of the candy. In Megan's bag, 20 out of the 50 candy pieces were taffy. In Nora's bag, 11 out of the 25 pieces were taffy. Who got the greater ratio of taffy to total candy pieces?

• Megan got the greater ratio.

• Nora got the greater ratio.

• .Neither. The girls got the same ratio

• Tulsi

• Gary

• They have the same ratio

Answer explanation

• Talia
• Marisol
• Nina
• Joanne

Jessica made 8 out of 24 free throws. Bob made 5 out of 20 free throws. Who has the highest

free throw ratio and how do you know?

• 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.

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