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Melissa, Ryan, and Chau sent 122 text messages. Chau sent 3 times as many as Ryan. Ryan sent 7 fewer then Melissa. How many messages did they each send

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sqdancefan

Answer:

  • Melissa: 30
  • Ryan: 23
  • Chau: 69

Step-by-step explanation:

Let r represent the number of messages Ryan sent. Then Chau sent 3r and Melissa sent r+7. Their total was ...

  (r+7) +(r) +(3r) = 122

  5r +7 = 122 . . . . . collect terms

  5r = 115 . . . . . . . . subtract 7

  r = 23 . . . . . . . . . . divide by 5

Ryan sent 23, Melissa sent 30, and Chau sent 69 text messages.

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