SOLUTION: Nick has two cans of white paint, one with a 2% yellow pigment and the other with a 5% yellow pigment. He wants to mix the two paints to get paint with a 4% yellow pigment. How muc

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Question 369251: Nick has two cans of white paint, one with a 2% yellow pigment and the other with a 5% yellow pigment. He wants to mix the two paints to get paint with a 4% yellow pigment. How much of the 5% yellow pigment paint should be mixed with 0.4 gallon of the 2% yellow pigment paint to get the desired paint?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Nick has two cans of white paint, one with a 2% yellow pigment and the other with a 5% yellow pigment. He wants to mix the two paints to get paint with a 4% yellow pigment. How much of the 5% yellow pigment paint should be mixed with 0.4 gallon of the 2% yellow pigment paint to get the desired paint?
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Equation:
yellow + yellow = yellow
0.05x + 0.02*0.4 = 0.04(x+0.4)
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Multiply thru by 100 to get:
5x + 2*0.4 = 4x+4*0.4
x = 2*0.4
x = 0.8 gallons (amt. of 5% paint needed in the mixture)
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Cheers,
Stan H.