shrey2287 wrote:Three grades of Milk are 1%,2% and 3% fat by Vol. If x gallons of 1% grade, y gallons of 2% grade and z gallons of 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. 2y+3z
c. 3y+4.5z
d. (y+z)/4
e. 3y+z
OA - a. y +3z
Plz explain...
Since 1.5% is halfway between 1% and 2%, combining equal amounts of X (1% milkfat) and of Y (2% milkfat) will yield a mixture that is 1.5% milkfat.
Let x=2, y=2 and z=0 (implying that no Z will be in the mixture).
The question asks for the value of x=2. This is our target.
Now we plug y=2 and z=0 into the answers to see which yields our target of 2.
Only answer choice
A works:
y+3z = 2 + 3*0 = 2.
The correct answer is
A.
Last edited by
GMATGuruNY on Thu Oct 20, 2011 7:53 pm, edited 1 time in total.
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