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.

Step-by-step 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= (126)/(6)= 21`

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

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