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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 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

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

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

Solución

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Daliaprofessionell · Tutor durante 6 años
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Let's denote the number of text messages Reuben sent as $R$. According to the problem, Deandre sent 4 times as many messages as Reuben, so Deandre sent $4R$ messages. Reuben sent 9 fewer messages than Salma, so Salma sent $R + 9$ messages.<br /><br />The total number of text messages sent by Salma, Deandre, and Reuben is 147. Therefore, we can set up the equation:<br /><br />$R + 4R + (R + 9) = 147$<br /><br />Combining like terms, we get:<br /><br />$6R + 9 = 147$<br /><br />Subtracting 9 from both sides, we have:<br /><br />$6R = 138$<br /><br />Dividing both sides by 6, we find:<br /><br />$R = 23$<br /><br />So, Reuben sent 23 messages. Now we can find the number of messages Salma and Deandre sent:<br /><br />Salma sent $R + 9 = 23 + 9 = 32$ messages.<br /><br />Deandre sent $4R = 4 \times 23 = 92$ messages.<br /><br />Therefore, the number of text messages Salma sent is $\boxed{32}$, the number of text messages Deandre sent is $\boxed{92}$, and the number of text messages Reuben sent is $\boxed{23}$.
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