Question

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 percent grade, what is x in terms of y and z ?

A. y+3zB. y+z/4C. 2y+3zD. 3y+zE. 3y+4.5z

Answer 1

Option A

Explanation:

Here the fat by volume of three different grade is equal to
`1.5`% grade.

Thus, if we write the above relationship mathematically we get -

`1`% of
`x`
`+ 2`% of
`y`+ 3[/tex]% of
`z`
`= 1.5`% of
`(x+y+z)`

On solving the above equation, we get -

`x+2y+3z=1.5x+1.5y+1.5z\\0.5x=(2y-1.5y)+(3z-1.5z)\\</p><p>[tex]x= 2*0.5y+2*1.5z\\ x= y+3z`

Hence, option A is correct