Question

A recipe for lemonade calls for 1/2 cup water to every 1/3 cup lemon juice. If you increase the recipe and use 1 1/2 cups lemon juice, how much water should you use?

Answer 1

Answer: 2¹/₄ cups of water

Explanation:

The formula calls for water and lemon juice to be mixed in the ratio:

1/2 : 1/3

If the quantity of lemon juice increases to 1 1/2 which is 3/2 then you can find the quantity of water required using direct proportion:

1/2 : 1/3

x : 3/2

Cross multiply to get:

1/3 x = 3/4

x = 3/4 ÷ 1/3

x = 3/4 * 3/1

x = 9/4

x = 2¹/₄ cups of water