Question

To mix a particular shade of purple paint red paint and blue paint are mixed in the ratio 5:3 to make 20 gallons of this shade of purple paint how many gallons of red and blue paint should be used

Answer 1

Red paint: 12.5 gallons

Blue paint: 7.5 gallons

Explanation:

5 + 3 = 8

20/8 = 2.5

5 * 2.5 = 12.5

3 * 2.5 = 7.5

Red paint: 12.5 gallons

Blue paint: 7.5 gallons

Answer 2

Answer: Red = 12.5 gallons, Blue = 7.5 gallons

Explanation:

Red : Blue = Purple

5x + 3x = 20

8x = 20

÷8 ÷8

x =
`(20)/(8)` =
`(5)/(2)`

Red: 5x = 5
`((5)/(2))` =
`(25)/(2)` = 12.5

Blue: 3x = 3
`((5)/(2))` =
`(15)/(2)` = 7.5