Kathy and Omar are planning a party to honor the teachers at their school. They each suggest a recipe for apple cider punch to serve at the party.

Question

Kathy’s Recipe

13 over 4 parts apple cider

31 fourth parts ginger ale

Omar’s Recipe

31 half parts apple cider

21 half parts ginger ale

For each recipe, write a unit rate to represent the parts of apple cider per part of ginger ale. Then, determine which recipe will have the stronger apple taste. Explain how you determined your answer.

Answer 1

Kathy: (13/4) / (31/4) = 13/31
Omar: (31/2) / (21/2) = 31/21
clearly, 31/21 > 13/31