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problems with milk percents- gmat prep

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by Taniuca » Mon Sep 26, 2011 5:40 pm
three grades of milk are 1 percent, 2 percent, 3 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 2 percent grade, and z gallons of the 3 percent grade are mixed to give x+y+z gallons of a 1.5 percent grade, what is x in terms of y and z?
a) y+3
b) y+z/4
c) 2y+3z
d)3y+z
e) 3y +4.5z
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Source: — Problem Solving |

by Anurag@Gurome » Mon Sep 26, 2011 6:13 pm
Taniuca wrote:three grades of milk are 1 percent, 2 percent, 3 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 2 percent grade, and z gallons of the 3 percent grade are mixed to give x+y+z gallons of a 1.5 percent grade, what is x in terms of y and z?
a) y+3
b) y+z/4
c) 2y+3z
d)3y+z
e) 3y +4.5z
.01X + .02Y+.03Z = .015(X + Y + Z)
100(.01X + .02Y + .03Z = .015(X + Y + Z)
1X + 2Y + 3Z = 1.5X + 1.5Y + 1.5Z
.5Y + 1.5Z = .5X
Y + 3Z = X

I think the first option should be Y + 3Z, please check the same.

The correct answer should be A.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
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