Question

. A recipe for lemonade punch calls for 6 cups

of lemonade for every 24 cups of punch. Which
equation can be used to find x, the percent of
lemonade in the recipe?

Answer 1

see the explanation

Explanation:

Let

x ----> the number of cups of lemonade

y ----> the number of cups of punch

we know that

The ratio of cups of lemonade to the cups of punch is equal to

`(x)/(y)=(6)/(24)`

Simplify

`(x)/(y)=(1)/(4)`

Isolate the variable x

`x=(1)/(4)y`

`x=0.25y`

To convert to percentage multiply by 100

`x=(0.25y)(100)`

`x=25y` ----> in percentage

That means----> the percent of lemonade in the recipe is 25%