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26 March, 21:12

Ashley, Frank, and Chang sent a total of 73 text messages over their cell phones during the weekend. Frank sent 7 more messages than Ashley. Chang sent 2 times as many messages as Frank. How many messages did they each send?

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  1. 26 March, 23:45
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    Ashley=13 messages

    Frank=20 messages

    Chang=2x+14=40 messages

    Step-by-step explanation:

    Number of texts sent by each person;

    Ashley=x

    Frank=x+7

    Chang=2 (x+7) = 2x+14

    Total number of text messages=Number sent by Ashley+Number sent by Frank+Number sent by Chang

    where;

    Total number of text messages=73

    Replacing;

    73 = x + (x+7) + (2x+14)

    x+x+2x+7+14=73

    4x+21=73

    4x=73-21

    4x=52

    x=52/4

    x=13

    Ashley=13 messages

    Frank=x+7=13+7=20 messages

    Chang=2x+14 = (2*13) + 14=40 messages
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