SOLUTION: Together, Steve and Tom sold 96 raffle tickets for their school. Steve sold 15 more than twice as many raffle tickets as Tom. How many raffle tickets did each boy sell?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Together, Steve and Tom sold 96 raffle tickets for their school. Steve sold 15 more than twice as many raffle tickets as Tom. How many raffle tickets did each boy sell?      Log On


   

Question 1065112: Together, Steve and Tom sold 96 raffle tickets for their school. Steve sold 15 more than twice as many raffle tickets as Tom. How many raffle tickets did each boy sell?
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
What do we know from the problem?
S + T = 96
S = 2T + 15
Substitute the known value of S from the second equation into the first.
(2T+15) + T = 96
3T + 15 = 96
3T = 81
T = 27
If Tom sold 27 tickets, then Steve sold 96-27=69 tickets
Is 69 "15 more than twice" 27?
69 = 15 + 54
69 = 69
Success!