Answer:
9 : 10
Explanation:
For 32 ounce- can
Dorian buys one 32-ounce can of purple paint with a red to blue ratio of 3 to 5.
The sum of proportion = 3 + 5 = 8
The number of ounces of red paint = 3/8 × 32-ounce = 12 ounces
The number of ounces of blue paint = 5/8 × 32-ounce = 20 ounces
For 25 ounce can
He buys a 25-ounce can of a different shade of purple paint with a red to blue ratio of 3 to 2.
The sum of proportion = 3 + 2 = 5
The number of ounces of red paint = 3/5 × 25-ounce = 15 ounces
The number of ounces of blue paint = 2/5 × 25-ounce = 10 ounces
Dorian mixes the two cans together.
The total ounces for red paint
= 12 ounces + 15 ounces = 27 ounces
The total ounces for blue paint
= 20 ounces + 10 ounces = 30 ounces
Hence, the ratio of red paint to blue paint in Dorian's new mixture is
Red : Blue
27 ounces : 30 ounces
9 : 10