Donald spent half as much as Patricia did on presents this year, and Carl spent 3 times more than Donald. If the total spent between the thr

Question

Donald spent half as much as Patricia did on presents this year, and Carl spent 3 times more than Donald. If the total spent between the three of them was $72, how much did they each spend on presents this year?

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King 6 months 2021-08-25T18:56:46+00:00 1 Answers 2 views 0

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    2021-08-25T18:58:02+00:00

    Answer:

    Patricia spent $24 on presents, while Donald spent $12 and Carl spent $36.

    Step-by-step explanation:

    The problem is to solve how much money each person spent on presents in the year, through a series of equivalences. In order to determine how much money each one spent, the following equation must be proposed:

    Patricia = X

    Donald = 1 / 2X

    Carl = 3/2 X

    X + 1 / 2X + 3 / 2X = 72

    1X + 0.5 X + 1.5 X = 72

    3X = 72

    X = 72/3

    X = 24

    Thus, Patricia spent $ 24 on presents, while Donald spent $ 12 (2/24) and Carl spent $ 36 (1.5 x 24).

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