math

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what would be the equation for this math problem so i can figure it out

In a basketball game, the Squirrels scored a total of 103 points and made 3 times as many field goals ( 2 points each) as free throws (1 point each). They also made eleven three point baskets. How many field goals did they have?

  • math -

    let the number of free throws be T
    let the number of field goals b G
    G = 3T
    2G + T = 130

    sub the first equation into the second and solve for G
    sub that back into the first

  • math -

    oops,
    I always told my students, the first step is to read the question carefully at least 2 times
    and guess what, I did not read the question carefully enough, and forgot about the 3 pointers.

    Either change my second equation to

    2G + T = 103 - 9
    or follow Damon's solution below

  • math -

    ARGGGG!!!!

    2G + T = 103 - 9

    should say

    2G + T = 103 - 33

  • math -

    11 * 3 = 33 points from outside so that leaves 103-33 = 70 points
    x = number of field goals
    x/3 = number of free throws
    so
    70 points = 2 x + 1 (x/3)
    210 = 6 x + x
    7 x = 210
    x = 30

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