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Math Help - Systems of Equations Model

  1. #1
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    Systems of Equations Model

    A biologist has two brine solutions, one containing 3% salt and another containing 12% salt. How many milliliters of each solution should he mix to obtain 1 L of a solution that contains 8.4% salt?
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  2. #2
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    Quote Originally Posted by tmac11522 View Post
    A biologist has two brine solutions, one containing 3% salt and another containing 12% salt. How many milliliters of each solution should he mix to obtain 1 L of a solution that contains 8.4% salt?
    You're putting in A millilitres of 3% salt and 97% water, and B millilitres of 12% salt and 88% water.

    So your final solution (no pun intended) will be 1000 millilitres made up of 8.4% salt and 91.6% water.

    So A*0.03 + B* 0.12 = 84, pairing the salts with the salts.
    And
    A*0.97 + B*0.88 = 916, pairing the water with the water.

    So you're left with a pair of simultaneous equations to solve.
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