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Math

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A pot contains 6 liters of brine at a concentration of 120g/l. How many liters of the water should be boiled off so that concentration of the brine is 200g/l.

  • Math - ,

    divide 200 by 120 to get your answer

  • Math - ,

    let the amount boiled off be x L

    amount of brine = 6 (120 g/L) = 720 g
    that must stay constant

    (6-x)(200 g/L) = 720 g
    1200 - 200x = 720
    -200x = -480
    x = 2.4

    2.4 L must be boiled off


    check:
    liquid left = 6-2.4 = 3.6 L
    but there must still be 720 g in there
    concentration = 720/3.6 = 200 g/L

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