Together, Steve and Tom sold 101 raffle tickets for their school. Steve sold 17 more than three times as many raffle tickets as Tom. How many did each boy sell?

Question

anonymous · Answer

s + t = 101
s = 17+3t

do you understand how I got the equations?

anonymous · Answer

for ease - substitute the value of s (2nd equation) into the 1st equation...solve for t

anonymous · Answer

Yeah, I used substitution I think I just made an algebraic error! Thanks again!

anonymous · Answer

17 + 3t + t = 101
4t = 101-17
4t = 84
t = 21

anonymous · Answer

now since we have T  I will use the 2nd equation to determine S
s = 17 + 3(21)
s = 17 + 63
s = 80

now check : s+ t = 101
80 + 21 = 101

anonymous · Answer

Thanks! :D