Question

Anna’s recipe calls for 2 cups of lemonade concentrate and 3 cups of water. Bailey’s recipe calls for 3 cups of lemonade concentrate and 5 cups of water. Suppose each person pours herself one cup of the lemonade she made. How much concentrate is in each person's cup? How do you know

Answer 1

• Anna: 2/5 cup
• Bailey: 3/8 cup

Explanation:

Anna's recipe makes 2+3 = 5 cups of lemonade, of which 2 cups are concentrate. Thus, concentrate makes up 2/5 of the volume of Anna's lemonade. 1 cup of it will contain 2/5 cup of concentrate.

Bailey's recipe makes 3+5 = 8 cups of lemonade, of which 3 cups are concentrate. Thus, concentrate makes up 3/8 of the volume of Bailey's lemonade. 1 cup of it will contain 3/8 cup of concentrate.

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I know this because I did the math. The assumption is that the concentrate is well-mixed in each case.