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Mixture problems

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Mixture problems

by teejaycrown » Fri Nov 02, 2012 10:05 pm
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 gallons of 3% grade aew mixed to give x+y+z gallons of a 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
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by Anurag@Gurome » Fri Nov 02, 2012 10:07 pm
teejaycrown wrote: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 gallons of 3% grade aew mixed to give x+y+z gallons of a 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
[x*(1/100) + y*(2/100) + z*(3/100)] = (x + y + z)*(1.5/100)
x + 2y + 3z = 1.5x + 1.5y + 1.5z
(1.5x - x) = (2y - 1.5y) + (3z - 1.5z)
0.5x = 0.5y + 1.5z
x = y + 3z

The correct answer is A.
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