Question

Jacob mixes ⅓ cup of yellow paint for every ⅕ cup of blue paint to make green paint. How many cups of yellow paint are needed for 1 cup of blue paint?

Answer 1

`(5)/(3)` cups

Explanation:

Jacob mixes
`(1)/(3)` cup of yellow paint for every
`(1)/(5)` cup of blue paint to make green paint.

The ratio of yellow paint to blue paint =
`(1)/(3) : (1)/(5)`

= 5:3

`(1)/(5)` cup of blue paint =
`(1)/(3)` cup of yellow paint

1 cup of blue paint =
`(1)/(3)` ÷
`(1)/(5)` cup of yellow paint

⇒
`(1)/(3)` ÷
`(1)/(5)`

⇒
`(5)/(3)`

Hence, For 1 cup of blue paint needed
`(5)/(3)` cups of yellow paint.