Problemas
Salma, Deandre, and Reuben sent a total of 147 text messages over their cell phones during the weekend. Deandre sent 4 times as many messages as Reuben. Reuben sent 9 fewer messages than Salma. How many messages did they each send? Number of text messages Salma sent: square Number of text messages Deandre sent: square Number of text messages Reuben sent: square
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Let's denote the number of text messages Reuben sent as
. According to the problem, Deandre sent 4 times as many messages as Reuben, so Deandre sent
messages. Reuben sent 9 fewer messages than Salma, so Salma sent
messages.The total number of text messages sent by Salma, Deandre, and Reuben is 147. Therefore, we can set up the equation:
Combining like terms, we get:
Subtracting 9 from both sides, we have:
Dividing both sides by 6, we find:
So, Reuben sent 23 messages. Now we can find the number of messages Salma and Deandre sent:Salma sent
messages.Deandre sent
messages.Therefore, the number of text messages Salma sent is
, the number of text messages Deandre sent is
, and the number of text messages Reuben sent is
.