Question

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

Answer 1

• Melissa: 30
• Ryan: 23
• Chau: 69

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.