Question

You use a juice mix to make orange juice. You combine 12 ounces of the mix with 36

ounces of water. Which is a unit rate that describes your juice?

Answer 1

12 and 36 both can be divided by 12 which is 1 and 3
So the ratio is 1:3

Answer 2

3 : 1 is the unit rate.

OR

`1 : (1)/(3)`

Explanation:

We have to prepare a mix of orange juice and water.

12 ounces of juice is mixed with 36 ounces of water.

So the ratio that defines the mixture of water and orange juice as 36 : 12

This ratio when simplified will give a ratio of 3 : 1

Therefore, the unit rate is 3 : 1 that defines the mixture of 3 ounce of water with 1 ounce of orange juice.

Similarly, other unit rate that defines the mix will be 12 : 36

=
`(12)/(36):(36)/(36)`

=
`(1)/(3):1`

The unit rate
`(1)/(3):1` defines the mixture of 1 ounce of water with
`(1)/(3)` ounce of juice.