Question

Solving a Debra, Ravi, and Ahmad sent a total of 76 text messages during the weekend. Ahmad sent 2 times as many messages as Ravi. Debra sent 8 more messages than Ravi. How many messages did they each send?

Answer 1

Let the number of messages sent by Ravi be x.

Ahmad sent 2 times as many messages as Ravi. Therefore, Ahmad sent 2x messages.

Debra sent 8 more messages than Ravi. Therefore, Debra sent (x + 8) messages.

The sum of all the messages is 76:

`x+2x+x+8=76`

Solving for x, we have:

`\begin{gathered} 4x+8=76 \\ 4x=76-8 \\ 4x=68 \\ x=(68)/(4) \\ x=17 \end{gathered}`

The number of messages Ahmad sent will be:

`2(17)=34`

The number of messages Debra sent will be:

`17+8=25`

ANSWER

`\begin{gathered} Debra\to25\text{ }messages \\ Ravi\to17\text{ }messages \\ Ahmad\to34\text{ }messages \end{gathered}`