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At a dinner party, every 3 guests used a dish for rice between them; every 4 a dish for broth; every 2 a dish for meat. There were 65 dishes in all. How many guests were there?

  • math -

    Let the number of guests be x

    then
    x/3 + x/4 + x/2 = 65
    Multiply bye 12 to get
    4x + 3x + 6x = 780

    I get x = 60

    check:
    rice dishes = 60/3 = 20
    broth = 60/4 = 15
    meat = 60/2 = 30

    20+15+30 = 65 check!!

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