A basketball player scored 24 times during one game. She scored a total of 41 points, two for each two-point shots and one for each free-thr

Question

A basketball player scored 24 times during one game. She scored a total of 41 points, two for each two-point shots and one for each free-throw how many to point shots did she make? How many free throws?

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Kinsley 1 week 2021-09-09T14:31:32+00:00 2 Answers 0

Answers ( )

  1. Ava
    0
    2021-09-09T14:32:43+00:00

    Answer:

    Number of points shoot, x=17

    Number of free shoot, y=7

    Step-by-step explanation:

    Let us consider,

    point shoot as x

    free shoot as y.

    Question say ” A basketball player scored 24 times during one game ”

    Therefore, Number of point shoot + Number of free shoot = 24

    Numerically we get,

    x+y=24

    Now, Free shoot gives one point and point shoot gives two points.

    She scored total of 41 points.

    2x+y=41

    we get two equations

    x+y=24

    2x+y=41

    By solving above linear equations…

    we can write, y=24-x

    replacing y value in 2x+y=41

    2x+24-x=41

    x=17

    To find value of y, replace x vaule in any equation

    say, x+y=24

    17+y=24

    y=7

    Thus, x=17 and y=7

    Number of points shoot, x=17

    Number of free shoot, y=7

  2. Ava
    0
    2021-09-09T14:33:26+00:00

    Answer:

    x=17

    Step-by-step explanation:

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