SOLUTION: There are 4 pints of green paint in a gallon bucket. The paint is made from equal amounts of yellow paint and blue paint. To create a different shade of green, the mixture needs to

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: There are 4 pints of green paint in a gallon bucket. The paint is made from equal amounts of yellow paint and blue paint. To create a different shade of green, the mixture needs to      Log On


   



Question 1080262: There are 4 pints of green paint in a gallon bucket. The paint is made from equal amounts of yellow paint and blue paint. To create a different shade of green, the mixture needs to be 80% yellow. How many pints of yellow paint need to be added to the bucket to make the mixture 80% yellow?
Brandon says to get that shade of green, 6 pints of yellow paint need to be added to the bucket. Bianca says that won't work. In two or more complete sentences, explain who is correct and why. In your explanation, include the calculations to support the correct answer.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
In the 4 pints of green paint, there are
2 pints of blue and 2 pints of yellow
Let +x+ = pints of yellow that need to be added
to make mixture 80% yellow
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+%28+2+%2B+x+%29+%2F+%28+4+%2B+x+%29+=+.8+
+2+%2B+x+=+.8%2A%28+4+%2B+x+%29+
+2+%2B+x+=+3.2+%2B+.8x+
+.2x+=+1.2+
+x+=+6+
6 pints of yellow need to be added
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check:
+%28+2+%2B+x+%29+%2F+%28+4+%2B+x+%29+=+.8+
+%28+2+%2B+6+%29+%2F+%28+4+%2B+6+%29+=+.8+
+8%2F10+=+.8+
+.8+=+.8+
OK
Just explain the equation