Question

elsa,ryan, and jim sent a total of 116 text messgaes during the weekend. ryan sent 4 times as many messages as jim. elsa sent 10 fewer messages than jim. how many messages did they each send?

Answer 1

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 $x$

As Ryan sent 4 times as many messages as Jim, so the number of messages sent by Ryan $= 4x$

Also, Elsa sent 10 fewer messages than Jim, so the number of messages sent by Elsa $= x-10$

Given that, they sent a total of 116 text messages. So the equation will be.......

$x+4x+(x-10)=116\\ \\ 6x-10=116\\ \\ 6x= 126\\ \\ x= \frac{126}{6}= 21$

So, the number of messages sent by each of them.....

$Jim = 21\\ Ryan = 4*21= 84\\ Elsa= 21-10= 11$