256,878 views
14 votes
14 votes
Sarah will mix yellow paint and red paint in the ratio 2 parts yellow to 3 parts red to create a certain shade of orange paint. She needs 10 quarts of the orange paint. How much will Sarah spend for the paint she needs if the price of the yellow paint is $5.50 per quart and the price of the red paint is $6.25 per quart?

User Selay
by
2.9k points

1 Answer

19 votes
19 votes

Answer:

  • $59.50

Explanation:

Given ratio of paints in the mix:

  • yellow : red = 2 : 3

Total volume of paint is 10 quarts, so we have:

  • 2x + 3x = 10
  • 5x = 10
  • x = 2

This is the multiplier, using which we get:

  • Yellow paint = 2*2 = 4 quarts
  • Red paint = 3*2 = 6 quarts

Find the price:

  • 4*5.50 + 6*6.25 = 59.50
User Muzammil
by
3.5k points