How many cu m of butterfat must be removed from 500 cu m of milk containing 10% butterfat to reduce its conten

Question

How many cu m of butterfat must be removed from 500 cu m of milk containing 10% butterfat to reduce its content to 4% butterfat?

Answer 1

Amount of butterfat in total will not change. The amount mixed in the milk at 10% concentration will equal the amount mixed in the milk at 4% concentration, plus the amount removed.

(500)(.10) = (500 - x)(.04) + x

50 = 20 - 0.04x + x = 20 + 0.96x

30 = 0.96x

x = 30/0.96 = 31.25 cu m

Hope that helps ;)

Answer 2

[1-(4%/10%)]500 cu.m
=(1-0.4)500 cu.m
=(0.6)500 cu.m
=300 cu.m