Question

In a recipe for fizzy grape juice, the ratio of cups of sparkling water to cups of grape juice concentrate is 3 to 1. a) Find two more ratios of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the same as this recipe.

Answer 1

`6:2,\,9:3`

Explanation:

Given: The ratio of cups of sparkling water to cups of grape juice concentrate is
`3:1` in a recipe for fizzy grape juice.

To find: two more ratios of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the same as this recipe

Solution:

Equivalent ratios are the ratios that have the same value.

Find two ratios equivalent to
`3:1=(3)/(1)`

Multiply both numerator and denominator of
`(3)/(1)` by 2

`(3(2))/(1(2)) =(6)/(2)`

Multiply both numerator and denominator of
`(3)/(1)` by 3

`(3(3))/(1(3)) =(9)/(3)`

So, two more ratios of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the same as this recipe are
`6:2,\,9:3`