SOLUTION: A chef has containers of heavy cream that are 40% butterfat and light cream that are 20% butterfat. How much heavy cream must be added to a 1000 ml container of light cream to prod

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Question 329189: A chef has containers of heavy cream that are 40% butterfat and light cream that are 20% butterfat. How much heavy cream must be added to a 1000 ml container of light cream to produce a mixture that is 36% butterfat? Briefly explain your answer.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = ml of heavy cream that needs to b added
given:
Butterfat in heavy cream = .4x ml
Amount of 20% light cream = 1000 ml
Butterfat in 1000 ml of light cream= .2%2A1000+=+200 ml
--------------------
In words:
(total ml of butterfat I end up with)/(total ml of mixture) = .36
%28.4x+%2B+200%29%2F%28x+%2B+1000%29+=+.36
.4x+%2B+200+=+.36%2A%28x+%2B+1000%29
.4x+%2B+200+=+.36x+%2B+360
.04x+=+360+-+200
.04x+=+160
x+=+4000
4000 ml or 4 liters of heavy cream must be added
check answer:
%28.4x+%2B+200%29%2F%28x+%2B+1000%29+=+.36
%28.4%2A4000+%2B+200%29%2F%284000+%2B+1000%29+=+.36
1600+%2B+200+=+.36%2A5000
1800+=+1800
OK