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Some children were sharing oranges. If each child took 3 oranges, there would be 2 oranges left over. But if each child took 4 oranges, there would be 2 oranges short. How many oranges were there?

  • maths - ,

    Here's how to do it with algebra.

    Let x be the number of children and y be the number of oranges that they share. You know two things. They are
    3x = y -2
    4x = y +2
    Subtract the first equation from the last.
    x = 4

    Now use the first equation to gey y:
    12 = y -2
    y = 14.
    There are 14 oranges for 4 children

    You could also do it by guessing the number of kids, starting with 1, then 2 etc. until you get a number that works.

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