SOLUTION: Tammy, Joe, and Austin sent a total of 89 text messages during the weekend. Joe sent 7 fewer messages than Tammy. Austin sent 2 times as many messages as Tammy. How many messages d

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Tammy, Joe, and Austin sent a total of 89 text messages during the weekend. Joe sent 7 fewer messages than Tammy. Austin sent 2 times as many messages as Tammy. How many messages d      Log On


   



Question 1203392: Tammy, Joe, and Austin sent a total of 89 text messages during the weekend. Joe sent 7 fewer messages than Tammy. Austin sent 2 times as many messages as Tammy. How many messages did they each send?
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

T = number of messages Tammy sent
T-7 = number of messages Joe sent
2T = number of messages Austin sent

Tammy + Joe + Austin = 89 total messages
T + (T-7) + (2T) = 89
4T - 7 = 89
4T = 89+7
4T = 96
T = 96/4
T = 24
T-7 = 24-7 = 17
2T = 2*24 = 48

Answers:
Tammy = 24 text messages
Joe = 17 text messages
Austin = 48 text messages