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Math Help - Circus Problem

  1. #1
    elite_snowman
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    Circus Problem

    A circus performance was attended by 120 people who paid a total of $120. The men paid $5, the women paid $2 and the children paid 10c.
    How many men, how many women and how many children went to the circus?
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  2. #2
    Flow Master
    mr fantastic's Avatar
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    Quote Originally Posted by elite_snowman View Post
    A circus performance was attended by 120 people who paid a total of $120. The men paid $5, the women paid $2 and the children paid 10c.
    How many men, how many women and how many children went to the circus?
    Solve simultaneously for all integer solutions that satisfy 0 \leq x \leq 120, 0 \leq y \leq 120 and 0 \leq z \leq 120:

    x + y + z = 120

    5x + 2y + 0.1z = 120

    Note that the number of children must be a multiple of 10 ......
    Last edited by mr fantastic; March 1st 2008 at 01:51 AM. Reason: Edited the last line ..... That's the only condition required.
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