SOLUTION: I need help finding the price of a senior's ticket and a children's ticket. I know how to set up the problem (3s+1c=38 and 3s+2c=52), however I'm a bit stuck after that.

Algebra ->  Systems-of-equations -> SOLUTION: I need help finding the price of a senior's ticket and a children's ticket. I know how to set up the problem (3s+1c=38 and 3s+2c=52), however I'm a bit stuck after that.      Log On


   



Question 734686: I need help finding the price of a senior's ticket and a children's ticket. I know how to set up the problem (3s+1c=38 and 3s+2c=52), however I'm a bit stuck after that.
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
(3s+1c=38 and 3s+2c=52)
.
stack up your two equations:
3s+1c=38
3s+2c=52
.
we solve by applying the "addition method".
Multiply both sides of the top equation by -1 and then combine with second:
-3s-1c = -38
3s+2c = 52
---------------
c = 14 (number of child tickets)
.
to find s, substitute above into:
3s+1c=38
3s+14=38
3s=24
s = 8 (number of student tickets)