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

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Joined: 11 Jul 2007
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Three grades of milk are 1 percent, 2 percent, and 3 percent [#permalink]  10 Dec 2007, 21:50
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 grades, 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?

1. y + 3z
2. (y+z)/4
3. 2y + 3z
4. 3y + z
5. 3y + 4.5z
Director
Joined: 03 May 2007
Posts: 888
Schools: University of Chicago, Wharton School
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Re: in terms of x [#permalink]  10 Dec 2007, 23:52
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 grades, 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?

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

1% of x + 2% of y + 3% of z = 1.5% (x+y+z)
2% of y - 1.5% y + 3% of z - 1.5% of z = 1.5% of x - 1% of x
0.5% y + 1.5% z = 0.5% of x
x = y + 3z
Re: in terms of x   [#permalink] 10 Dec 2007, 23:52
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