Answer:
[tex]\frac{1}{5}[/tex] cup of sugar per cup of water
Step-by-step explanation:
Set up a ratio with sugar on top and water on bottom to figure it out.
"If 1 cup sugar is equal to 5 cup water, then [tex]x[/tex] cup sugar equal to 1 cup water"
Translating the above statement into ratios:
[tex]\frac{sugar}{water}=\frac{1}{5}=\frac{x}{1}[/tex]
Cross multiplying and solving for [tex]x[/tex] gives us:
[tex]\frac{1}{5}=\frac{x}{1}\\5x=1*1\\5x=1\\x=\frac{1}{5}[/tex]
So [tex]\frac{1}{5}[/tex] cup of sugar is used per cup of water.
