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how much low fat milk (1%) fat and how much whole milk (4%) fat should be mixed to make 5 gal of reduced fat mild 2%

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  1. Method 1 using Algebra:
    Let x=volume of 1% milk in gallons
    then (5-x)=volume of 4% milk

    5*2%=x*1%+(5-x)*4%
    Solve for x:
    10=x+20-4x
    3x=10
    x=3 1/3 gal. (1% milk)
    5- 3 1/3 = 1 2/3 gal. (4% milk).

    Method 2 (mental calculations)
    Mentally put the 1% and 4% on a linear scale as follows:
    1%..................................4%
    The target percentage is 2%:
    1%......2%..............4%
    Take the difference:
    .....1.............2.........
    these are the ratio of the 4% and 1% milk respectively (note the inversion of position), i.e.
    4% milk : 1% milk = 1:2
    Therefore
    volume of 4% = 5*1/(1+2)=1 2/3 gal
    volume of 1% = 5*2/(1+2)=3 1/3 gal.

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