Problema Solution
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and i child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.
Answer provided by our tutors
let
s = the price of a senior citizen ticket
c = the price of a child ticket
on the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38
3s + c = 38
the school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets
3s + 2c = 52
by solving the system of equations
3s + c = 38
3s + 2c = 52
we find
s = $8
c = $14
click here to see the step by step solution of the system of equations
the citizen ticket costs $14.
the child ticket costs $8.