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Math Help - Word Problem

  1. #1
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    Word Problem

    You buy a total of pounds of two kinds of candy. One is for your upcoming party and costs $ 2.- per pound. However, you also treat yourself to a fancy kind that costs $ 10 per pound, to be enjoyed in solitude. You spend a total of $ 12.- and buy __________ pounds of the gourmet candy.

    I don't think the number is an integer, and I've tried setting this up as two equations but I think I'm making a mistake somewhere.

    I really appreciate the help!
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  2. #2
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    Quote Originally Posted by thebristolsound View Post
    You buy a total of pounds of two kinds of candy. One is for your upcoming party and costs $ 2.- per pound. However, you also treat yourself to a fancy kind that costs $ 10 per pound, to be enjoyed in solitude. You spend a total of $ 12.- and buy __________ pounds of the gourmet candy.

    I don't think the number is an integer, and I've tried setting this up as two equations but I think I'm making a mistake somewhere.

    I really appreciate the help!
    Let x be the cheap candy and y the expensive candy

    x + y = 4<br />

    2x+10y = 12 \: \rightarrow \: x+5y = 6

    edit: wrong again >.<
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