Question

Melanie is making lemonade and finds a recipe that calls for 1 part lemon juice, 2 parts sugar, and 8 parts water. She juices 2 lemons to obtain 6 tablespoons of lemon juice. How much sugar and water will she need to make lemonade with the same ratio of ingredients as the recipe? Express your answers as decimals if necessary. (1 cup equals 16 tablespoons) With

Answer 1

12 tablespoons of sugar and 3 cups of water (48 tablespoons)

Answer 2

Amount of lemon juice, sugar and water required will be = 0.375 cups, 0.75 cups and 3 cups.

Explanation:

Malanie is making lemonade and finds a recipe that requires lemon juice, sugar and water in the ratio of 1 : 2 : 8.

She juices 2 lemons to obtain 6 tablespoons of lemon juice.

∵ 16 tablespoons = 1 cup

∴ 1 tablespoon =
`(1)/(16)` cup

∴ 6 tablespoon =
`(6)/(16)` cup = 0.375 cups

Since ratio between lemon and sugar is 1 : 2

So amount of sugar required = 0.375×2 = 0.75 cups

Ratio between lemon and water is 1 : 8

So amount of water required = 0.375×8 = 3 cups

Therefore, amount of lemon juice, sugar and water required = 0.375 cups, 0.75 cups sugar and 3 cups respectively.