Question

To make a certain shade of green paint,mix 2/3 cup of yellow paint and 3/4 cup of blue paint. To make 17 cups of green paint using this mixture how many cups of yellow paint and blue paint will I need?

Answer 1

You will need 8 cups of yellow paint

Explanation:

The ratio between the cup of yellow paint to the cup of blue paint to

make a certain shade of green is 2/3 : 3/4

That means to make a certain the shade of green you must mix 2/3 cup

of yellow paint and 3/4 cup of blue paint

We need to know how many cups of yellow paint and blue paint will

need to make 17 cups of a green paint

∵ yellow paint : blue paint : green paint

2/3 : 3/4 : 2/3 + 3/4

∵
`(2)/(3)+(3)/(4)=(2*4+3*3)/(3*4)=(8+9)/(12)=(17)/(12)`

∴ The ratio between the three colors is

`(2)/(3):(3)/(4):(17)/(12)`

∵ The number of green cups is 17

∴
`(2)/(3):(3)/(4):(17)/(12)` = yellow : blue : 17

By using cross multiplication between yellow paint and green paint

∴
`(2)/(3)*17=(17)/(12)` * yellow cups

Divide both sides by
`(17)/(12)`

∴ yellow cups =
`((2*17)/(3))/((17)/(12))=8`

∴ You will need 8 cups of yellow paint