original fat = (x + 0.1 ) kg
Total original mass = (100 + x) kg
and as it is known that the original fat content was 4.5% so
x + 0.1
= 0.045
100 + x
whence x + 0.1 = 0.045(100 + x)
x =
4.6 kg
So the composition of the whole milk is then
fat = 4.5% ,
water =
90.5
104.6
= 86.5 %
protein =
3.5
104.6
= 3.3 %
carbohydrate =
5.1
104.6
= 4.9%
and ash =
0.8
104.6
= 0.8%