SOLUTION: 16. 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

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: 16. 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      Log On

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Question 436908: 16. 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 josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let p = gallons of 5% yellow paint needed
given:
+p+%2B+.4+ = gallons of final mixture
+.02%2A.4+=+.008+ gallons of 2% yellow
+.05p+ = gallons of 5% yellow needed
----------
+%28.05p+%2B+.008%29%2F%28p+%2B+.4%29+=+.04+
+.05p+%2B+.008+=+.04%2A%28p+%2B+.4%29+
+.05p+%2B+.008+=+.04p+%2B+.016+
+.01p+=+.008+
+p+=+.8+
.8 gallons of the 5% yellow pigment paint should be used
check:
+%28.05%2A.8+%2B+.008%29%2F%28.8+%2B+.4%29+=+.04+
+.048+%2F+1.2+=+.04+
+.048+=+.048+
OK