SOLUTION: FIND HOW MANY QUARTS OF 6% BUTTERFAT MILK AND 2% BUTTERFAT MILK SHOULD BE MIXED TOGETHER TO YEILD 80 QUARTS OF 5% BUTTERFAT MILK? please help asap

Question 230945: FIND HOW MANY QUARTS OF 6% BUTTERFAT MILK AND 2% BUTTERFAT MILK SHOULD BE MIXED TOGETHER TO YEILD 80 QUARTS OF 5% BUTTERFAT MILK? please help asap
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = quarts of 6% butterfat milk needed
Let = quarts of 2% butterfat milk needed
given:

= butterfat in
= butterfat in
In words:
(quarts of butterfat in 5% milk)/(total quarts of 5% milk) = 5%
(1)
(2)
---------------------
Multiply both sides of (1) by
(1)
(1)
(1)
Multiply both sides of (2) by and
subtract from (1)
(1)
(2)

and

60 quarts of 6% milk and 20 quarts of 2% milk are needed
check:
(1)
(1)
(1)
(1)
(1)
OK

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