Dorian buys one 32-ounce can of purple paint witha red to blue ratio of 3 to 5. He buys a 25-ouncee can of a different shade of purple paintwith a red to blue ratio of 3 to 2. Dorian mixes the two cans together. What is the ratioof red paint to blue paint in Dorian's new mixture?

9 : 10

Step-by-step 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

7

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