A recipe for lemonade calls for 1 cup of sugar and 5 cups of water. How much sugar is used per cup of water?
Answer:
\(\frac{1}{5}\) 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 \(x\) cup sugar equal to 1 cup water"
Translating the above statement into ratios:
\(\frac{sugar}{water}=\frac{1}{5}=\frac{x}{1}\)
Cross multiplying and solving for \(x\) gives us:
\(\frac{1}{5}=\frac{x}{1}\\5x=1*1\\5x=1\\x=\frac{1}{5}\)
So \(\frac{1}{5}\) cup of sugar is used per cup of water.