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16 December, 20:30

Elsa Scott and Miguel send a total of 103 text messages over there cell phones during the weekend. Elsa sent seven fewer messages then Scott. Miguel sent four times as many messages as Elsa. how many messages did they each send?

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  1. 16 December, 21:34
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    Scott sent 23 msgs, Elsa sent 16 and Miguel sent 4 (16), or 64 msgs.

    Step-by-step explanation:

    Didn't you mean "their cell phones?"

    Represent the # of Scott's messages by s. Then Elsa sent s - 7 msgs, and Miguel sent 4 (s - 7) msgs.

    Then s + s - 7 + 4s - 28 = 103, and

    6s - 35 = 103, or

    6s = 138

    Then s = 138/6, or s = 23.

    Scott sent 23 msgs, Elsa sent 16 and Miguel sent 4 (16), or 64 msgs.

    Note that 23 + 16 + 64 = 103.
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