In a basketball game, a regular basket is worth 2 points and a long distance basket is worth 3 points. There were 54 baskets in a game and 1

Question

In a basketball game, a regular basket is worth 2 points and a long distance basket is worth 3 points. There were 54 baskets in a game and 118 points total. Part A: Write a system of equations where x represents a regular basket and y represents a long distance basket.

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Madeline 10 mins 2021-10-14T01:15:29+00:00 1 Answer 0

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    2021-10-14T01:17:00+00:00

    Answer:

    The system of equations for the given situation is:

    x+y=54

    2x+3y=118

    Step-by-step explanation:

    Given:

    Regular basket is worth = 2 points

    Long distance basket  is worth =3 points

    Total baskets in a game = 54

    Total points in total = 118

    x\rightarrow represents the number of regular baskets

    y\rightarrow represents the number of long distance baskets.

    Expression for total baskets can be given by ⇒ x+y

    Thus first equation representing total baskets in a game is given by:

    x+y=54

    Since a regular basket is worth 2 points

    So x regular baskets would be worth =2x points

    Since a long distance basket is worth 3 points

    So y long distance baskets would be worth =3y points

    Expression for total points in a game can be given by ⇒ 2x+3y

    Thus second equation representing total points in a game is given by:

    2x+3y=118

    The system of equations for the given situation is:

    x+y=54

    2x+3y=118

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