algebra

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In a basketball game, a regular basket was worth 2 points and a long-distance basket was worth 3 points. If there were 45 baskets in a game and 96 points total, how many regular baskets r and long-distance baskets l were made? Show the correct system of equations.

  • algebra -

    number of 2 point baskets --- x
    number of 3 point baskets --- 45-x

    2x + 3(45-x) = 96
    2x + 135 - 3x = 96
    -x = -39
    x = 39

    39 2pointers, and 6 3pointers

    check:
    39(2) + 6(3) = 96
    39+6 = 45
    Yeahh

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