A couch and coffee table cost a total of $1080. The cost of the couch is two times the cost of the coffee table. Find the cost of each time.

Question

A couch and coffee table cost a total of $1080. The cost of the couch is two times the cost of the coffee table. Find the cost of each time.

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Faith 2 weeks 2021-09-08T07:48:43+00:00 1 Answer 0

Answers ( )

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    2021-09-08T07:50:10+00:00

    Answer:

    $720

    $360

    Step-by-step explanation:

    Let the cost of couch be A and that of coffee table be B

    Given couch and coffee table cost $1080

    That’s

    A + B = $1080

    Also, the cost of couch A is 2 times the cost of coffeee table B.

    That’s

    A = 2B

    We now have two equations

    A + B = 1080

    A = 2B

    Now ,substitute 2B for A in the first equation .

    We have

    A + B = 1080

    2B + B = 1080

    3B = 1080

    Divide both sides by 3

    3B/3 = 1080/3

    B = 360

    The coffee table cost $360

    Remember A = 2B

    Therefore

    A = 2 x $360

    A = $720

    The couch cost $720 while the coffee table cost $360

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