Reggie is making a double layer cake. The recipe for the first layer calls for 2 1/4 cups of sugar. The recipe for the second layer calls for 1 1/4 cups of sugar. Reggie has 5 cups of sugar. How much will he have left after making both recipes?

Verified Answer :

Answer: \(1\frac{1}{2}\text{ cups of sugar}\)


Step-by-step explanation:

Given: Reggie is making a double layer cake.

The recipe for the first layer requires cups of sugar \(=2\frac{1}{4}\text{ cups of sugar}\)

\(=\frac{9}{4}\text{ cups of sugar}\)

The recipe for the second layer requires cups of sugar \(=1\frac{1}{4}\text{ cups of sugar}\)

\(=\frac{5}{4}\text{ cups of sugar}\)

If Reggie has 5 cups of sugar, then he will have left sugar after making both recipes \(=5-\frac{9}{4}-\frac{5}{4}\)

\(=\frac{20-9-5}{4}=\frac{6}{4}=\frac{3}{2}=1\frac{1}{2}\text{ cups of sugar}\)