msbelasco wrote:I actually have another question that uses milk as the subject.
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% grade, what is x in terms of y and z?
y+3z
2y+3z
y+z/4
3y + z
3y + 4.5z
Thanks!
Plug in 0 for ONE of the three ingredients in the mixture; then determine the required values of the OTHER TWO ingredients.
Let z=0, with the result that no Z will be in the mixture.
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 and y=2.
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.
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