SOLUTION: Find how many quarts of 6% butterfat milk and 3 % butterfat milk should be mixed to yield 45 quarts of 5% butterfat milk

Question 412152: Find how many quarts of 6% butterfat milk and 3 % butterfat milk should be mixed to yield 45 quarts of 5% butterfat milk
Found 2 solutions by emargo19, josmiceli:
Answer by emargo19(101) (Show Source): You can put this solution on YOUR website!
Let x= number of quarts of 6% buttermilk
y= number of quarts of 3% buttermilk
____________
EQ 1
------------

Multiply 0.03 by EQ (1)
---------

__________
EQ 2
----------
----(Simplfy this EQ 2)

Therefore
(Eq 1)
(Eq 2)
Subtract (Eq 1) from (Eq 2)

15 quarts of 6% buttermilk are mixed with 15 quarts of 3% buttermilk.

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = quarts of 6% milk needed
Let = quarts of 3% milk needed
------------------------------
In words:
(total quarts of butterfat)/(total quarts of milk) = 5%
(1)
(2)
---------------
From (1)
(1)
(1)
(1)
(1)
----------------
(2)
(2)
(2)
and,
(2)
(2)
30 quarts of 6% and 15 quarts of 3% butterfat milk are needed
check answer:
(1)
(1)
(1)
(1)
OK
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