SOLUTION: How much milk (3% butterfat content) was mixed with cream (27% butterfat) to produce 26 cups of Half-and-Half (11% butterfat content)? Let X be the amount of milk and Y be the amou

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Question 1024364: How much milk (3% butterfat content) was mixed with cream (27% butterfat) to produce 26 cups of Half-and-Half (11% butterfat content)? Let X be the amount of milk and Y be the amount of cream.
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = cups of milk needed
Let = cups of cream needed
-----------------------------
(1)
(2)
------------------------------
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
----------------------


and
(1)
(1)
-----------------
17 and 1/3 cups of milk are needed
8 and 2/3 cups of cream are needed
---------------
check:
(2)
(2)
(2)
(2)
(2)
OK

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