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28 May, 06:49

Martina, Hong, and Felipe sent a total of 91 text messages over their cell phones during the weekend. Hong sent 9 more messages than Martina. Felipe sent 2 times as many messages as Hong. How many messages did they each send?

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  1. 28 May, 06:53
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    M = 16

    H = 25

    F = 50

    Step-by-step explanation:

    Let's use for abbreviation M for Martina's messages, H for Hong's messages and F for Felipe's messages.

    Now we need to write the given information as equations.

    Martina, Hong, and Felipe sent a total of 91 text messages

    (1) M + H + F = 91

    Hong sent 9 more messages than Martina.

    (2) H = M + 9

    Felipe sent 2 times as many messages as Hong

    (3) F = 2 * H

    Now with this system, we need to replace the letters to leave only M in the first equation.

    (4) M + (M + 9) + (2 * (M + 9) = 91

    (5) 4*M + 27 = 91

    (6) M = (91-27) / 4

    Then we find the answer:

    M = 16

    H = 25

    F = 50
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