SOLUTION: different shades of paint color are formed by mixing different percents of 2 or more primary colors such as blue and yellow. Suppose you want to paint your roof with a paint mixtur

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Question 266417: different shades of paint color are formed by mixing different percents of 2 or more primary colors such as blue and yellow. Suppose you want to paint your roof with a paint mixture that is 40% yellow and 60% blue. How many pints of pure 100% blue paint and 50% yellow and 50% blue paint mix should be combined to make 12 pints of a 40% yellow and 60% blue paint mix?

Found 2 solutions by patsrock12, ankor@dixie-net.com:
Answer by patsrock12(1) About Me  (Show Source):
You can put this solution on YOUR website!
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Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
different shades of paint color are formed by mixing different percents of 2 or more primary colors such as blue and yellow.
Suppose you want to paint your roof with a paint mixture that is 40% yellow and 60% blue.
How many pints of pure 100% blue paint and 50% yellow and 50% blue paint mix should be combined to make 12 pints of a 40% yellow and 60% blue paint mix?
:
Write equation in terms of percent blue
:
Let x = amt of 100% Blue
then
(12-x) = amt of 50% blue
:
1.0x + .5(12-x) = .6(12)
1x + 6 - .5x = 7.2
1x - .5x = 7.2 - 6
.5x = 1.2
x = 1.2%2F.5
x = 2.4 pints of 100% blue
and
12 - 2.4 = 9.6 pints of 50% blue
:
:
Check solution, using percent yellow
0(2.4) .5(9.6) = .4(12)
0 + 4.8 = 4.8