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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

Respuesta :

Answer:

Option A

Step-by-step explanation:

Here the fat by volume of three different grade is equal to [tex]1.5[/tex]% grade.

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

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

On solving the above equation, we get -

[tex]x+2y+3z=1.5x+1.5y+1.5z\\0.5x=(2y-1.5y)+(3z-1.5z)\\

[tex]x= 2*0.5y+2*1.5z\\ x= y+3z[/tex]

Hence, option A is correct

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