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Nurse erika needs to prepare 12 liters of a 10% saline solution. The stockroom only has 7 % and 15% saline solutions. How much of each solution should erika mix together to get 12 litres of a 10% saline solution

  • algebra -

    let amount of 7% solution be x L
    then the amount of 15% solution must be 12-x L

    .07x + .15(12-x) = .10(12)
    times 100
    7x + 15(12-x) = 120
    7x + 180 - 15x = 120
    -8x = -60
    x = 7.5

    She should use 7.5 L of the 7% and 4.5 of the 15% solution

    check:
    .07(7.5) + .15(4.5)
    = 1.2
    and 10% of 12 L is 1.2

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