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Destinyyyy

  • one year ago

A chemist needs 190 milliliters of a 47% solution but has only 25% and 63% solutions available. Find how many milliliters of each that should be mixed to get the desired solution.

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  1. perl
    • one year ago
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    If we assume that x = number of milliliters of 25% solution y = number of milliliters of 63% solution x + y = 190 .25x + .63y = 190 * .47

  2. Destinyyyy
    • one year ago
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    Okay

  3. Destinyyyy
    • one year ago
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    I match up the y's to cancel them out correct?

  4. perl
    • one year ago
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    yes, you can solve by substitution or elimination

  5. Destinyyyy
    • one year ago
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    I got x=317.38 which cant be correct

  6. perl
    • one year ago
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    x + y = 190 .25x + .63y = 190 * .47 multiply the second equation by 100. that will get rid of decimals. x+y=190 25x + 63y = 8930

  7. Destinyyyy
    • one year ago
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    x=-230 then I plug this into x+y=190

  8. perl
    • one year ago
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    x should be positive

  9. Destinyyyy
    • one year ago
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    Yes ... For x+y=190 times it all by -63 to cancel out the ys ... But then I get -38x=8740

  10. perl
    • one year ago
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    Did you get this? -63x -63y = -11970 25x + 63y = 8930

  11. perl
    • one year ago
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    I multiplied first equation by -63

  12. Destinyyyy
    • one year ago
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    -.- oh my gosh i left it as -190

  13. perl
    • one year ago
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    :D

  14. Destinyyyy
    • one year ago
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    x=80 and y=110

  15. Destinyyyy
    • one year ago
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    Thank you!

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