Question

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 1

To solve this, you would divide 5 from 1, to get 1/5 cups of sugar.

Answer 2

`(1)/(5)` cup of sugar per cup of water

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:

`(sugar)/(water)=(1)/(5)=(x)/(1)`

Cross multiplying and solving for
`x` gives us:

`(1)/(5)=(x)/(1)\\5x=1*1\\5x=1\\x=(1)/(5)`

So
`(1)/(5)` cup of sugar is used per cup of water.