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14 November, 03:48

A mechanic needs a radiator to have 50% antifreeze solution. the radiator currently is filled with 4 gallons of 15% antifreeze solution. how much antifreeze mixture should be drained from the car if the mechanic replaces it with pure antifreeze.

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  1. 14 November, 06:59
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    let x=gallons of current mixture to be drained and replaced with pure antifreeze.

    4-x=gallons of current mixture remaining in the car.

    0.15 (4-x) + 1.00x=0.50 x 4

    0.6-.15x+x=2

    0.85x=1.4

    x=1.4/0.85 = 1.65 gal

    Thus, 1.65 gallons of current mixture to be drained and replaced with pure antifreeze.
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