Question

Maya, Justin, and Dave sent a total of 116 text messages during the weekend. Maya sent 8 more messages than Justin. Dave sent 4 times as many messages as Justin. How many messages did they each send?

Answer 1

Justin sent 18 messages

Maya sent 26 messages

Dave sent 72 messages

Explanation:

Total messages of Maya, Justin and Dave = 116

Maya = 8 + Justin

Dave = 4 * justin = 4justin

Maya + Justin + Dave = 116

8 + Justin + Justin + 4(Justin) = 116

8 + 2(Justin) + 4(Justin) = 116

8 + 6(Justin) = 116

6(Justin) = 116 - 8

6(Justin) = 108

$\begin{gathered} 6\times Justin\text{ = 108} \\ \text{divide through by 6} \\ \text{Justin = 108/6} \\ \text{Justin = }18 \end{gathered}$

Maya = 8 + Justin = 8 + 18 = 26

Dave = 4justin = 4(18) = 72

Justin sent 18 messages

Maya sent 26 messages

Dave sent 72 messages