ALGEBRA

if a bottle holding 3 liters of milk contains 3.5% butterfat,How much skimmed milk must be added to dilute the milk to 2% butterfat

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  1. amount of skimmed milk added --- x L

    .035(3) +0.0x = .02(x+3)
    .105 = .02x + .06
    .02x = .045
    x = 2.25

    add 2.25 L

    check:
    3.5% of 3 L is .105 L of fat
    adding 2.25 L of no fat milk gives us
    5.25 L containing still only .105 fat
    rate of fat = .105/5.25 = .02 as required

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