SOLUTION: A liter of cream contains 9.5 percent butterfat. How much skim milk containing 5.5 percent butterfat must be added to the mixture (which is the same as the amount of cream that mus

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Question 872601: A liter of cream contains 9.5 percent butterfat. How much skim milk containing 5.5 percent butterfat must be added to the mixture (which is the same as the amount of cream that must be taken out) to obtain one liter of mixture with 6.5 percent butterfat?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Percent ---------------- quantity
skim milk 5.50% ---------------- x liters
cream 9.50% ------ 1 - x liters
Mixture 6.50% ---------------- 1
Total 1 liters
5.50% x + 9.50% ( 1 - x ) = 6.50% * 1
5.5 x + 9.5 ( 1 - x ) = 6.5
5.5 x + 9.5 - 9.5 x = 6.5
5.5 x - 9.5 x = 6.5 - -9.5
-4 x = -3
/ -4
x = 0.75 liters 5.50% skim milk
0.25 liters 9.50% cream

m.ananth@hotmail.ca