Question

Christian has a cookie recipe that yields four dozen cookies and calls for 2 1/4 cups white sugar and 3/4 cup brown sugar.cif christian only wants to make one dozen cookies, how much total sugar in cups should he use?

Answer 1

The ingredients given are for 4 dozen cookies; however, Christian only want to make one dozen, meaning he requires only 1/4 the ingredients.

1/4 of 2 1/4 cups of while sugar is found the following way.

First, we write 2 1/4 as an improper fraction

$2\frac{1}{4}=2+\frac{1}{4}=\frac{9}{4}$

1/4 of this is

$\frac{9}{4}\times\frac{1}{4}=\frac{9}{16}$

Hence, Christian requires 9/16 cups of white sugar.

Similarly, the 1/4 of 3/4 cups of brown sugar is

$\frac{1}{4}\times\frac{3}{4}=\frac{3}{16}$

Hence, Chrisitan requires 3/16 cups of brown sugar.

Therefore, the total cups of sugar required is the sum of

$\frac{3}{16}+\frac{9}{16}=\frac{12}{16}=\frac{3}{4}$

3/4 cups of sugar.