Mixture problem - expressing x in terms of y and z

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Hi all,
This problem is tripping me up. Can anyone explain the proper way to solve?
Thanks!
Alicia

There are three grades of milk, 1%, 2% and 3% fat by volume. If x gallons of the 1% grade, y gallons of the 2% grade and z gallons of the 3% grade are mixed to give x+y+z gallons of a 1.5% grade, what is x in terms of y and z?

A. 2y+3z
B. 3y+z
C. 3y+4.5z
D. y+3z
E. (y+2)/4

Correct answer: D. y+3z
Source: — Problem Solving |

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