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Jimmy had a total of 163 apples and oranges. After selling 50% of all the apples and 20% of all the oranges, he had 110 fruits left. How many oranges did Jimmy have at first?

  • math -

    Let x = # of apples and y = # of oranges.

    x + y = 163

    x = 163 - y

    .5x + .8y = 110

    Substitute 163-y for x in last equation and solve for y. Insert that value into the first equation and solve for x. Check by inserting both values into the second equation.

  • math -

    let the number of apples be x
    let the number of oranges be y

    x+y = 163 ---> y = 163-x

    .5x + .8y = 110
    5x + 8y = 1100
    use substitution
    5x + 8(163-x) = 1100
    5x + 1304 - 8x = 1100
    -3x = -204
    x = 68

    he has 68 apples and 95 oranges at first

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