Answer: [tex]1\frac{1}{2}\text{ cups of sugar}[/tex]
Step-by-step explanation:
Given: Reggie is making a double layer cake.
The recipe for the first layer requires cups of sugar [tex]=2\frac{1}{4}\text{ cups of sugar}[/tex]
[tex]=\frac{9}{4}\text{ cups of sugar}[/tex]
The recipe for the second layer requires cups of sugar [tex]=1\frac{1}{4}\text{ cups of sugar}[/tex]
[tex]=\frac{5}{4}\text{ cups of sugar}[/tex]
If Reggie has 5 cups of sugar, then he will have left sugar after making both recipes [tex]=5-\frac{9}{4}-\frac{5}{4}[/tex]
[tex]=\frac{20-9-5}{4}=\frac{6}{4}=\frac{3}{2}=1\frac{1}{2}\text{ cups of sugar}[/tex]