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you have an unlimited supply of 5% saline solution and 8% saline solution. How much of each type would you have to use to create 60 ounces of 7% saline solution? Write and solve a system of equations to model and solve this problem.

  • math -

    amount of 5% solution used --- x
    amount of 8% solution used --- 60-x

    .05x + .08(60-x) = .07(60)
    times 100
    5x +8(60-x) = 420
    5x + 480 - 8x = 420
    -3x = -60
    x = 20

    20 ounces of the 5% solution and 40 ounces of the 8% solution.

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