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# Three grades of milk are 1 percent, 2 percent, and 3 percent

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Three grades of milk are 1 percent, 2 percent, and 3 percent [#permalink]  22 Sep 2005, 19:13
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(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 1 sessions
Three grades of milk are 1 percent, 2 percent, and 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 + 3z
B. (y+z)/4
C. 2y + 3z
D. 3y + z
E. 3y + 4.5z

(Edited for typo: It's z gallons of 3% milk, not 3 gallons of 3% milk. Sorry about that.)

Last edited by coffeeloverfreak on 23 Sep 2005, 12:25, edited 1 time in total.
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I got A.

.01x + .02y + .03z = .015(x+y+z)

I multiplied both sides by 10 to make it easier, so

x + 2y +3z=1.5x+1.5y+1.5z

.5y+1.5z=.5x

x=y+3z
Manager
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I get (A) too, for the same reasoning as Popew626
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waht does the 3 gallons of 3 percent milk do? [#permalink]  23 Sep 2005, 07:30
The stem says its uses 3 gallons of 3% milk. That information is not used anywhere in the solution. Is is there to throw you off?
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Christopher Wilson

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Re: waht does the 3 gallons of 3 percent milk do? [#permalink]  23 Sep 2005, 07:58
chriswil2005 wrote:
The stem says its uses 3 gallons of 3% milk. That information is not used anywhere in the solution. Is is there to throw you off?

I think so. I scanned the answers real quick and saw that all contained y and z so there was no reason to throw the 3 gallons in for z and then recalculate it out.
Senior Manager
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Sorry, that's my typo. Should be z gallons of 3%, not 3 gallons. I will edit now.
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0,01x+0,02y+0,03z=(x+y+z)*0,015
-0,005x=-0,005y-0,015z
5x=5y+15z
x=y+3z

(A)
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Good one invoked

(A)
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