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PS about milk

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by yuri » Fri Oct 26, 2007 9:24 pm
Hi guys, I just can't crack this one:

Three grades of milk are 1%, 2% and 3% fat by volume. If x gallons of the 1% grade, y gallons of the 2% grade and z gllaons of the 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

THANK YOU!!!

btw - A) is the right answer...
source: CAT1 from mba.com
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by jangojess » Fri Oct 26, 2007 9:32 pm
x*1% + y*2% + z*3% = 1.5%*(x+y+z)
x+2y+3z =1.5x+1.5y+1.5z
0.5y+1.5z = 0.5x
x=y+3z....Ans is A
Trying hard!!!
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by ri2007 » Fri Oct 26, 2007 9:38 pm
X(0.01) + Y(0.02) + Z(0.03) / X+Y+Z = 0.015

Essentially amt of fat from milk with 1% fat is X (0.01). Same for all other grade.

Total fat in the resulting mixture / total weight of the mixture = 0.015 (or 1.5%). this is given.

If u solve the above equation u get

X = y +3Z
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by yuri » Fri Oct 26, 2007 9:39 pm
thank you guys!!!
yuri
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