8.4.2 Self-Check on Ratios

Tick iconExercise 9: Chocolate Chip Cookies

A recipe for chocolate chip cookies requires 48 tablespoons of flour, 16 tablespoons of sugar, and 32 tablespoons of chocolate chips.

(a) What is the ratio of flour to sugar to chocolate chips?

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Answer

(a) 48:16:32 which reduces to 3:1:2 (through division by 16).

(b) If you only have 36 tablespoons of flour, how many tablespoons of sugar and chocolate chips do you need to maintain the recipe’s taste and consistency?

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Answer

(b) 3 parts of flour is equivalent to 36 tablespoons. So, 1 part is equivalent to 12 tablespoons. Thus, you will need tablespoons of sugar and tablespoons of chocolate chips.

(c) Suppose you have 40 tablespoons of chocolate chips, and plenty of everything else. Determine the amount of flour and sugar you will need, if you want the maximum number of cookies you can make with your 40 tablespoons of chocolate chips.

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Answer

In this case, 2 parts of chocolate chips will be equivalent to 40 tablespoons. So, 1 part is equivalent to 20 tablespoons. Thus, you will need three multiplication 20 equals 60 tablespoons of flour and one multiplication 20 equals 20 tablespoons of sugar.