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9 April, 15:05

Two chemicals X and Y are to be mixed together to achieve a 16ml solution that is 7.4% water. Chemical x is 5% water and Y is 9% water. How much Y should be used in the mix?

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  1. 9 April, 15:14
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    9.6 mL

    Step-by-step explanation:

    If x is mL of chemical X, and y is mL of chemical Y, then:

    x + y = 16

    0.05x + 0.09y = 0.074 (16)

    Solve the system of equations using substitution.

    0.05 (16 - y) + 0.09y = 0.074 (16)

    0.8 - 0.05y + 0.09y = 1.184

    0.04y = 0.384

    y = 9.6

    You need 9.6 mL of Y.
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