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3 grades of milk are 1%, 2% and 3% fat by volume. If x

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3 grades of milk are 1%, 2% and 3% fat by volume. If x [#permalink]

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New post 05 Nov 2006, 13:11
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3 grades of milk are 1%, 2% and 3% fat by volume. If x gallons of 1% grade, y gallons of 2% grade, and z gallons of 3% grade are mixed to give x+y+z gallons of 1.5% grade, what is x in terms of y and z?

a) y+3z
b) (y+z)/4
c) 2y+3z
d) 3y+z
e) 3y+4.5z


Answer is a. Please explain.
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New post 05 Nov 2006, 13:36
Think Fat.

Fat of what goes in = Fat of what's in the mix

1% x + 2% y + 3% z = 1.5% (x + y + z)
1% x + 2% y + 3% z = 1.5% x + 1.5%y + 1.5%z
0.5% y + 1.5% z = .5% x
(multiply by 200) y + 3z = x
  [#permalink] 05 Nov 2006, 13:36
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3 grades of milk are 1%, 2% and 3% fat by volume. If x

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