The number of messages sent by Elsa, Ryan and Jim are 11 , 84 and 21 respectively.
Explanation
Suppose, the number of messages Jim sent is [tex]x[/tex]
As Ryan sent 4 times as many messages as Jim, so the number of messages sent by Ryan [tex]= 4x[/tex]
Also, Elsa sent 10 fewer messages than Jim, so the number of messages sent by Elsa [tex]= x-10[/tex]
Given that, they sent a total of 116 text messages. So the equation will be.......
[tex]x+4x+(x-10)=116\\ \\ 6x-10=116\\ \\ 6x= 126\\ \\ x= \frac{126}{6}= 21[/tex]
So, the number of messages sent by each of them.....
[tex]Jim = 21\\ Ryan = 4*21= 84\\ Elsa= 21-10= 11[/tex]
