SOLUTION: Five gallons of a light green latex paint that is 20% yellow paint are combined with a darker green latex paint that is 40% yellow paint. How many gallons of the darker green paint

Question 577716: Five gallons of a light green latex paint that is 20% yellow paint are combined with a darker green latex paint that is 40% yellow paint. How many gallons of the darker green paint must be used to create a green paint that is 25% yellow paint?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Five gallons of a light green latex paint that is 20% yellow paint are combined with a darker green latex paint that is 40% yellow paint.
How many gallons of the darker green paint must be used to create a green paint that is 25% yellow paint?
:
Let x = amt of 40% paint required to result in a 25% mixture
:
A typical mixture equation
.20(5) + .40x = .25(5+x)
1 + .4x = 1.25 + .25x
.4x - .25x = 1.25 - 1
.15x = .25
x =
x = 1 gal of 40% stuff
:
:
Check this
.2(5) + .4(1.67) = .25(5+1.67)
1 + .668 = .25(6.67)
1.668 ~ 1.6675; confirms our solution
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