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3 April, 21:16

A group of chemists are conducting an experiment to produce a new liquid material. One chemical contains 15% sodium (Na) and the other chemical contains 30% sodium (Na). Once they mix the two samples the resulting chemical contains 22% sodium (Na). How many milliliters (ml) of each sample must be mixed to obtain 600 ml of the new chemical

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  1. 3 April, 21:37
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    A = 320 and B = 280

    Step-by-step explanation:

    Amount of sodium from first material = 0.15*A Amount of sodium from second material = 0.3*B

    Now, if we combine the two chemicals to get a new chemical, which is 22% sodium, then the total amount of combined sodium is amount of sodium from both sources

    0.15A + 0.3B = 0.22 * (A+B)

    0.07A - 0.08B = 0 (1)

    - But we have a second equation, because we know that A + B = 600 (2)

    Solve the system of two equations, (1) and (2), we have:

    A = 320 and B = 280
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