SOLUTION: how much lowfat milk (1%) fat and how much whole milk (4% fat) should be mmixed to make 5 gallon of reduced fat milk (2%)

Question 465029: how much lowfat milk (1%) fat and how much whole milk (4% fat) should be mmixed to make 5 gallon of reduced fat milk (2%)
Found 2 solutions by josmiceli, robertb:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = gallons of 1% milk needed
Let = gallons of 4% milk needed
given:
(1)
(2)
--------------------------
(2)
(2)
and, from (1),
(1)
By substitution,
(2)
(2)
(2)
and
(1)
(1)
(1)
10/3 gallons of 1% milk are needed
5/3 gallons of 4% milk are needed
check:
(2)
(2)
(2)
(2)
(2)
OK
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
0.01x + 0.04(5 - x) = 0.02*5
<==> 0.01x + 0.2 - 0.04x = 0.1
<==> -0.03x = -0.1
<==> x = 10/3 gallons of 1%, and
5 - x = 5/3 gallons of 4%.
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