Question

To paint his room ted prepared 2 gallons of a paint mixture at a ratio of 3:1 white to blue. If he later decide to dilute the color to a ratio of 5:1 white to blue, how many gallons of white paint is he supposed to add to the original mixture

Answer 1

White = 1.67 gallons

Blue = 0.33 gallons

Explanation:

White : blue = 3 : 1

Total ratio = 3 + 1

= 4

Gallons = 2

White = 3 /4 × 2

= 6 /4

= 3/2 gallons

Blue = 1 / 4 × 2

= 2/4

= 1/2

If he later decide to dilute the color to a ratio of 5:1

Total ratio = 5 + 1

= 6

Total gallons = 2

White = 5 / 6 × 2

= 10/6

= 5/3 gallons

Or

= 1.67 gallons

Blue = 1 / 6 × 2

= 2 / 6

= 1/3 gallons

Or

= 0.33 gallons