SOLUTION: a paint mixture contains 15 gallons of base for every gallon of color. In 1440 gallons of paint how many gallons of color are there?

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Question 644556: a paint mixture contains 15 gallons of base for every gallon of color. In 1440 gallons of paint how many gallons of color are there?
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a paint mixture contains 15 gallons of base for every gallon of color. In 1440 gallons of paint how many gallons of color are there?
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base and color are in a ratio of 14:1 or 14x:x, where color is "x":
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Equation:
14x + x = 1440
15x = 1440
x = 96 (gallons of color)
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Cheers,
Stan H.
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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+Let+%7B%7B%7B+x+ = gallons of color in 1440
gallons of paint
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paint = base + color
base = paint - color
given:
base / color = 15 / 1
( paint - color ) / color = 15/1
+%28+1440+-+x+%29+%2F+x+=+15+%2F+1+
+1440+-+x+=+15x+
+16x+=+1440+
+x+=+90+
There are 90 gallons of color in 1440 gallons of paint
check:
+%28+1440+-+x+%29+%2F+x+=+15+%2F+1+
+%28+1440+-+90+%29+%2F+90+=+15+%2F+1+
+1350+%2F+90+=+15%2F1+
+15+=+15+
OK