Question 1121701
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This problem is intended to be solved using one equation and one unknown.



<pre>
Let L be the number of messages sent by Lisa.


Then Pablo sent (L-5) messages, while Boris sent 4*(L-5).


The equation is

    Lisa + Pablo + Boris   = 113,    or


    L    + (L-5) + 4*(L-5) = 113,


    L + L - 5 + 4L - 20    = 113


    6L = 113 + 5 + 20 = 138  ====>  L = {{{138/6}}} = 23.


<U>Answer</U>.  Lisa sent 23 messages, Pablo sent 23-5 = 18 messages  and Boris sent 4*18 = 72 messages.


<U>Check</U>.  23 + 18 + 72 = 113 messages.    ! Correct !
</pre>

Solved.


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If you want to see many other similar problems solved in this way, look into the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/equations/More-complicated-word-problems-to-solve-using-single-linear-equation.lesson>More complicated word problems to solve using a single linear equation</A> 

in this site.