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Math Help - arithmetic problem

  1. #1
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    arithmetic problem

    Mary buys 100 candies for $7. If yips cost 5 cents each, Gups 6 cents each and pips 7 cents each, how many more pips than yips did Mary buy?

    A 50 B 60 C 70 D 100 E none of the above
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  2. #2
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    Quote Originally Posted by sri340 View Post
    Mary buys 100 candies for $7. If yips cost 5 cents each, Gups 6 cents each and pips 7 cents each, how many more pips than yips did Mary buy?

    A 50 B 60 C 70 D 100 E none of the above
    Let y denote the number of yips, g the number of gups and p the number of pips.

    From the text of the question you know:

    y+g+p=100

    0.05y+0.06g+0.07p=7~\implies~5y+6g+7p=700

    Multiply the first equation by 6 and subtract both equations columnwise to get rid of the gups. Solve for y.
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