Let A, K and C represent the messages sent by Amanda, Kareem and Chang respectively.
We also know that:
Kareem sent 3 times as many messages as Chang, therefore, K = 3C
Amanda sent 8 more messages than Chang we then have: A = 8 + C
In all, A + K + C = 88. Therefore, we have:
[tex]8+C+3C+C=88[/tex]We will collect like terms to get:
[tex]\begin{gathered} 8+5C=88 \\ \text{Subtracting 8 from both sides gives:} \\ 5C=88-8 \\ 5C=80 \\ \text{Dividing both sides by 5 yields:} \\ \frac{5C}{5}=\frac{80}{5} \\ C=16 \end{gathered}[/tex]Therefore,
Amanda will have sent 8 + 16 = 24 messages
Kareem will have sent 3(16) = 48 messages
Chang will have sent 16 messages
