Question

A shade of green paint is created by mixing a certain amount of blue paint. The ratio of yellow to blue paint is 3:7. Based on this ratio how much yellow paint would be needed to prepare 5 gallons of green paint.

Answer 1

The amount of yellow paint needed to prepare 5 gallons of green paints is
`(3)/(2)` gallon .

Explanation:

Given as :

The ratio of yellow paint to blue paint = 3 : 7

The total measure of green paint prepare with blue and yellow paint = 5 gallons

So, Let The amount of yellow paint = 3 x

And The amount of blue paint = 7 x

According to question :

The amount of yellow paint + The amount of blue paint = The total measure of green paint

Or, 3 x + 7 x = 5 gallons

Or, 10 x = 5 gallons

∴ x =
`(5)/(10)` =
`(1)/(2)`

so , The amount of yellow paint = 3 ×
`(1)/(2)` =
`(3)/(2)` gallon

And The amount of blue paint = 7 ×
`(1)/(2)` =
`(7)/(2)` gallon

Hence The amount of yellow paint needed to prepare 5 gallons of green paints is
`(3)/(2)` gallon . Answer