Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 decade ago

Math question!!!!!!!!!!!!!!!?

In a basketball game John and Keith scored a total of 19 points.Keith and Chris scored a total of 14 points.Keith scored as many points as John and Chris together.How many points did each player score?

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Update:

come on people plz i need an answer

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  • 1 decade ago
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    Answer:

    John scores 8.

    Keith scores 11.

    Chris scores 3.

    Let's abbreviate each player by his initial:

    John = J

    Keith = K

    Chris = C

    So basically:

    J + K = 19

    K + C = 14

    J + C = K

    1) Use substitution postulate: it means substituting (or replacing) one with another that has the same value.

    Since J + C = K, then:

    J + K = 19

    J + (J + C) = 19 *substitute K with (J + C) since they're the same*

    2J + C = 19

    Keep this in mind.

    Now let's do the same with the second expression.

    K + C = 14

    (J + C) + C = 14 *substitute K with (J + C) again*

    J + 2C = 14

    So basically, you have this:

    2J + C = 19

    J + 2C = 14

    _____________________

    2) Subtracting two equations: I'm sure you know what that means.

    How do you subtract equations? Hopefully you learn this in class...

    (2J + C = 19) - (J + 2C = 14)

    *basically, subtract each expression (or "part" of the equation, the one that is separated by operations, in this case, 2J, C, and 19 from the first equation) of one equation by the corresponding expression (J, 2C, and 14 from the second equation).*

    (2J - J) + (C - 2C) = (19 - 14)

    J - C = 5

    ________________

    3) Find the answer for one abbreviation: Basically, just find one answer, which will lead to the other answers for other players.

    J - C = 5

    (J - C + 2C) = (5 + 2C) *Add each expression by 2C*

    J + C = 5 + 2C

    K = 5 + 2C *Since (J + C) is equal to K*

    Now "fill-in the blank"! (a.k.a. substitute)

    K + C = 14 *Remember this equation? It's the very first one*

    (5 + 2C) + C = 14 *We just solved that K = 5 + 2C, just substitute it*

    5 + 3C = 14

    3C = 9

    C = 3

    So basically, Chris scored 3 points.

    ______________

    4) Find the rest of the answers: Find how much John and Keith scored!

    Now that C = 3.....

    K + C = 14

    K + (3) = 14

    K = 11

    J + K = 19

    J + (11) = 19

    J = 8

    ____________________

    Sorry that I answered very late........ Just that I have other things to do..........like my own homework.

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