Olivia is a high school basketball player. How many points would Olivia score in a game if she made 6 free throws (worth one point each) and

Question

Olivia is a high school basketball player. How many points would Olivia score in a game if she made 6 free throws (worth one point each) and 4 two point shots? How many points would Olivia score in a game if she made xx free throws and yy two point shots?

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Minh Khuê 6 months 2021-08-14T05:33:40+00:00 2 Answers 4 views 0

Answers ( )

    0
    2021-08-14T05:34:53+00:00

    She made 4 two-point shots.

    Explanation:

    Let’s call the number of two-point shots she score  

    t

    and the number of free throws  

    f

    .

    Because we know she score 9 times we can write an equation:

    t

    +

    f

    =

    9

    if we solve for  

    f

    we get:

    t

    +

    f

    t

    =

    9

    t

    f

    =

    9

    t

    We also know the total points score from these 9 shots was 13 and therefore we can write:

    (

    2

    ×

    t

    )

    +

    (

    1

    ×

    f

    )

    =

    13

    From the first equation we can substitute  

    9

    t

    for  

    f

    in the second equation and then solve for  

    t

    , the number of two-point shots.

    (

    2

    ×

    t

    )

    +

    (

    1

    ×

    (

    9

    t

    )

    )

    =

    13

    2

    t

    +

    9

    t

    =

    13

    t

    +

    9

    =

    13

    t

    +

    9

    9

    =

    13

    9

    t

    =

    4

    0
    2021-08-14T05:35:17+00:00

    So she would have 11points than. Reason: Because 6 points is 1 point each and two points shots added another point. 6+5=111

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