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Math Help - mixture problems

  1. #1
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    mixture problems

    I am asked to find

    how many ounces of a solution that is 90% alcohol need to be mixed with 5 ounces of a solution that is 50% alcohol in order to obtain a solution that is 80% alcohol?

    I set it up this way, but don't think i did it right, can someone please help me???

    .90x+.50(5)=.80y

    but then how do I find the solution?
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  2. #2
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    Quote Originally Posted by mandy123 View Post
    I am asked to find

    how many ounces of a solution that is 90% alcohol need to be mixed with 5 ounces of a solution that is 50% alcohol in order to obtain a solution that is 80% alcohol?

    I set it up this way, but don't think i did it right, can someone please help me???

    .90x+.50(5)=.80y

    but then how do I find the solution?
    You're almost there, but that would be unsolvable with two unknowns. You do actually know the value of y, it's 5+x. So multiplying out gives you 0.9x+2.5=4+0.8x. Go from there...
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  3. #3
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    oh, ok, I was missing that y=5-x, I got it, thank you so much!!!!
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