Question

A chocolate chip cookie recipe requires one and two thirds cups of flour to one cup of chocolate chips. If three and three quarters cups of flour is used, what quantity of chocolate chips will be needed, according to the recipe?

Answer 1

Answer: 2 1/4 cups of chocolate chips is required.

Explanation:

chocolate chip cookie recipe requires one and two thirds cups of flour to one cup of chocolate chips. Converting 1 2/3 cups to improper fraction, it becomes 5/3 cups.

Also, converting three and three quarters cups(3 3/4) of flour to improper fraction, it becomes 15/4 cups.

Let x represent the quantity of chocolate chips that will be needed if 15/4 cups of flour is used.

Therefore,

If 5/3 cups of flour = 1 cup of chocolate,

then 15/4 cups of flour = x cups of chocolate.

Cross multiplying, it becomes

5/3 × x = 15/4 × 1

5x/3 = 15/4

x = 15/4 × 3/5

x = 9/4 = 2 1/4