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Lucy, Gorman, and Rafael sent a total of 140 text messages over their cell phones during the weekend. Rafael sent 4 times as many messages as Goran. Goran sent 8 fewer messages than Lucy. How many messages did they each send?

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sqdancefan

Answer:

  • Raphael: 88
  • Goran: 22
  • Lucy: 30

Step-by-step explanation:

Let g represent the number of messages Goran sent. Then 4g is the number Rafael sent, and g+8 is the number Lucy sent. Their total is ...

  (g+8) +g +4g = 140

  6g = 132

  g = 22

  g+8 = 30

  4g = 88

Lucy sent 30 messages; Goran sent 22; and Rafael sent 88.

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