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