SOLUTION: Lisa, Boris, and Pablo sent a total of 113 text messages over their cell phones during the weekend. Pablo sent 5 fewer messages than Lisa. Boris sent 4 times as many messages as Pa

Algebra.Com
Question 1121701: Lisa, Boris, and Pablo sent a total of 113 text messages over their cell phones during the weekend. Pablo sent 5 fewer messages than Lisa. Boris sent 4 times as many messages as Pablo. How many messages did they each send?
Found 2 solutions by josmiceli, ikleyn:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = number Lisa sent
Let = number Boris sent
Let = number Pablo sent
覧覧覧覧覧覧覧覧-
(1)
(2)
(3)
覧覧覧覧覧
There are 3 equations and 3 unknowns,
so it痴 solvable
(3)
And
(1)
(1)
(1)
(1)
(1)
And
(2)
(2)
And
(3)
(3)
覧覧覧覧覧
Check:
(1)
(1)


Answer by ikleyn(52832)   (Show Source): You can put this solution on YOUR website!
.

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


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 =  = 23.


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


Check.  23 + 18 + 72 = 113 messages.    ! Correct !

Solved.

---------------

If you want to see many other similar problems solved in this way, look into the lesson
    - More complicated word problems to solve using a single linear equation
in this site.


RELATED QUESTIONS

Debra, Brian, and Austin sent a total of 87 text messages over their cell phones during... (answered by greenestamps,ikleyn)
Marﾃｭa ﾃ］gela, Samuel, and Pablo sent a total of 121text messages during the weekend.... (answered by josgarithmetic)
susan,ravi, and dale sent a total of 110 text messages over their cell phones during the (answered by Fombitz)
Marﾃｭa ﾃ］gela, Samuel, and Pablo sent a total of 121 text messages during the weekend.... (answered by josgarithmetic)
Laura, Hans, and Scott sent a total of 70 text messages over their cell phones during the (answered by Boreal)
Maria, Joe and Lamar sent a total of 79 text messages over their cell phones during the... (answered by Cromlix)
Mary,aldo,and Lamar sent a total of 99 text messages over their cell phones during the... (answered by ikleyn)
Debra, Brian, and Austin sent a total of 87 text messages over their cell phones during... (answered by ikleyn,greenestamps)
Melissa, Deon, and Boris sent a total of 108 text messages during the weekend.... (answered by ikleyn,josgarithmetic)