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Math Help - counting problem

  1. #1
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    counting problem

    Johnny has 76 solid-colored disks that are either red, green, or blue. He lines them up on the floor and finds that there are 4 more red disks that green and 6 more green disks than blue. How many red disks does he have?

    Not sure how they're getting 30?
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  2. #2
    MHF Contributor harish21's Avatar
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    Quote Originally Posted by mjoshua View Post
    Johnny has 76 solid-colored disks that are either red, green, or blue. He lines them up on the floor and finds that there are 4 more red disks that green and 6 more green disks than blue. How many red disks does he have?

    Not sure how they're getting 30?
    let r= Red disks
    g= green disks
    and b = blue disks.

    then r+g+b=76

    there are 4 more red disks that green means:  r = g+4

    6 more green disks than blue means: g = b+6

    from the above equation,you can also write b=g-6

    so r+g+b=76

    or, (g+4)+g+(g-6) = 76

    that gives you g = 26

    and you know that r = g+4=26+4=30

    you can also find out how many blue disks are there.. add the numbers up and you should get 76
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