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 ->  Polynomials-and-rational-expressions -> 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 1030101: 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. Who is correct and why?include the calculations to support the correct answer.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+4+ pints of green paint =
+2+ pints blue and
+2+ pints yellow
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Let +x+ = pints of yellow paint to be added
After the paint is added:
+%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 paint must be added
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check answer:
+%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+%2F+10+=+.8+
+.8+=+.8+
OK