On the first day of ticket sales the school sold 3 senior citizen tickets and 10 child tickets for a | MathCelebrity Forum

On the first day of ticket sales the school sold 3 senior citizen tickets and 10 child tickets for a

math_celebrity

Administrator
Staff member
On the first day of ticket sales the school sold 3 senior citizen tickets and 10 child tickets for a total of $82. The school took in $67 on the second day by selling 8 senior citizen tickets And 5 child tickets. What is the price of each ticket?

Let the number of child tickets be c
Let the number of senior citizen tickets be s

We're given two equations:
  1. 10c + 3s = 82
  2. 5c + 8s = 67
We have a system of simultaneous equations. We can solve it using any one of 3 ways:
No matter what method we choose, we get:
  • c = 7
  • s = 4
 
Back
Top