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Milk Problem

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by avada » Sat Sep 08, 2012 2:01 pm
This is from a Gmac Practice test from mba.com

3 grades of milk are mixed together to produce 1.5 percent. If x gallong of 1%, y gallons of 2% and z gallons of 3% are mixed to give X+Y+Z gallons of 1.5 what is X in terms of y?

1. y+3z
2.(Y+Z)/4
3. 2y+3z
4. 3Y+Z
5. 3y +4.5Z


Answer= 1.
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by adthedaddy » Sat Sep 08, 2012 2:25 pm
There are some words you've missed in the question. Hope you're referring to this question only - https://www.beatthegmat.com/three-grades ... 13867.html

I would solve it this way -

1%x + 2%y + 3%z = 1.5%(x+y+z)
=> x+2y+3z = 1.5x + 1.5y + 1.5z
=> 0.5x = 0.5y + 1.5z
=> x=y+3z
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by rijul007 » Sat Sep 08, 2012 2:30 pm
(1% of x gallon) + (2% of y gallons) + (3% of z gallons) = 1.5% of (x+y+z) gallons
((x/100)+(2y/100)+(3z/100))/(x+y+z) = 1.5/100

(x+2y+3z)/(x+y+z) = 1.5
x+2y+3z = 1.5x+1.5y+1.5z
0.5y+1.5z = 0.5x
x = y+3z

Option A
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