Question

You mix 1 and one half quarts of juice with 3 and three fourths quarts of ginger ale to make fruit punch. What is the ratio of the amount of juice to the amount of ginger ale in simplest​ form?

Answer 1

2 : 5 is the ratio of the amount of juice to the amount of ginger ale.

Explanation:

Given:

You mix 1 and one half quarts of juice with 3 and three fourths quarts of ginger ale to make fruit punch.

Now, to get the ratio of the amount of juice to the amount of ginger ale.

Amount of juice =
`1(1)/(2)=(3)/(2) \ quarts.`

Amount of ginger ale =
`3(3)/(4)=(15)/(4) \ quarts.`

So, to get the ratio of amount of juice to amount of ginger ale:

`(3)/(2) :(15)/(4)`

`=((3)/(2))/((3)/(4))`

`=(3)/(2) * (4)/(15)`

`=(12)/(30)`

On simplifying it:

`=(2)/(5)`

`=2:5.`

Therefore, 2 : 5 is the ratio of the amount of juice to the amount of ginger ale.