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Salma, Deandre, and Reuben Sent a Total of 147 Text Messages over Their Cell Phones During the Weekend. Deandre Sent 4 Times as Many

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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Respuesta

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 .