SOLUTION: Carmen, Goran, and Deon sent a total of 78 text messages during the weekend. Deon sent 2 times as many messages as Goran. Carmen sent 6 more messages than Goran. How many messages

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Carmen, Goran, and Deon sent a total of 78 text messages during the weekend. Deon sent 2 times as many messages as Goran. Carmen sent 6 more messages than Goran. How many messages      Log On


   

Question 1175587: Carmen, Goran, and Deon sent a total of 78 text messages during the weekend. Deon sent 2 times as many messages as Goran. Carmen sent 6 more messages than Goran. How many messages did they each send?
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.

    Goran + Deon + Carmen = 78


      x   +  2x  + (x+6)  = 78


      4x                  = 78 - 6 = 72


       x                          = 72/4 = 18.


ANSWER.  Goran 18;  Deon 36;  Carmen 24.

Solved.