Three grades of milk are 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??
y+3z
y+z/4
2y+3z
3y+z
Grades
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x gallons of 1% grade will have x/100 fat
y will have 2y/100
z will have 3z/100
so total fat in x+y+z =x+2y+3z/100
now given total fat in x+y+z = 1.5%
i.e 1.5/100 * (x+y+z)
so x+2y+3z/100 = 1.5/100 * (x+y+z)
so x =y + 3z
ans should be A
y will have 2y/100
z will have 3z/100
so total fat in x+y+z =x+2y+3z/100
now given total fat in x+y+z = 1.5%
i.e 1.5/100 * (x+y+z)
so x+2y+3z/100 = 1.5/100 * (x+y+z)
so x =y + 3z
ans should be A
Regards
Samir
Samir