Problem

Espafiol Martina, Ryan, and Hans sent a total of 131 text messages over their cell phones during the weekend. Hans sent 4 times as many messages as Ryan. Ryan sent 7 more messages than Martina. How many messages did they each send? Number of text messages Martina sent: Number of text messages Ryan sent: Number of text messages Hans sent:

Solution

Step 1 :Let's denote the number of messages Martina, Ryan, and Hans sent as M, R, and H respectively.

Step 2 :We know that M + R + H = 131, H = 4R, and R = M + 7.

Step 3 :We can substitute the second and third equations into the first one to solve for the values of M, R, and H.

Step 4 :By solving the equations, we find that M = 16, R = 23, and H = 92.

Step 5 :Final Answer: The number of text messages Martina sent is \(\boxed{16}\). The number of text messages Ryan sent is \(\boxed{23}\). The number of text messages Hans sent is \(\boxed{92}\).

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Source: https://solvelyapp.com/problems/20367/

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