Question

Amanda, Kareem, and Chang sent a total of 88 text messages during the weekend. Kareem sent 3 times as many messages as Chang. Amanda sent 8 more messages than Chang. How many messages did they each send? Number of messages Amanda Sent?Number of messages Kareem sent?Number of messages Chang sent?

Answer 1

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:

`8+C+3C+C=88`

We will collect like terms to get:

`\begin{gathered} 8+5C=88 \\ \text{Subtracting 8 from both sides gives:} \\ 5C=88-8 \\ 5C=80 \\ \text{Dividing both sides by 5 yields:} \\ (5C)/(5)=(80)/(5) \\ C=16 \end{gathered}`

Therefore,

Amanda will have sent 8 + 16 = 24 messages

Kareem will have sent 3(16) = 48 messages

Chang will have sent 16 messages