SOLUTION: Carmen, David, and Brian sent a total of 67 text messages over their cell phones during the weekend. Brian sent 2 times as many messages as David. David sent 5 more mes

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Carmen, David, and Brian sent a total of 67 text messages over their cell phones during the weekend. Brian sent 2 times as many messages as David. David sent 5 more mes      Log On


   



Question 1085740: Carmen, David, and Brian sent a total of
67
text messages over their cell phones during the weekend. Brian sent
2
times as many messages as David. David sent
5
more messages than Carmen. How many messages did they each send?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.C%2BD%2BB=67
2.B=2D
3.D=5%2BC
From 3,
C=D-5
Substitute into 1,
%28D-5%29%2B%282D%29%2BD=67
4D=72
Solve for D then use the other equations to solve for C and B.