Question

You mix 0.5 cup of lemon juice for every 3 cups of water. You want to make 14 cups of lemonade. How much lemon juice do you use? How much water do you use?

You will use _____ cups of lemon juice and _____ cups of water to make 14 cups of lemonade.

Response:

Answer 1

2 cups of lemon juice and 12 cups of water

Explanation:

Using 0.5 cups of lemon juice for each 3 cups of water, you want to know how many cups of juice and water are needed for 14 cups of lemonade.

Ratio

The fraction of the total that is lemon juice is ...

(0.5 cups) / (0.5 + 3.0 cups) = 1/7

Then the amount of juice in 14 cups of lemonade is ...

(1/7)(14 cups) = 2 cups

The rest is water, 14-2 = 12 cups.

You will use 2 cups of lemon juice and 12 cups of water for 14 cups of lemonade.

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