Problema Solution
Rob's school is selling tickets to a choral performance. On the first day of ticket sales the school sold 2 senior citizen tickets and 11 student tickets for a total of $164. The school took in $124 on the second day by selling 8 senior citizen tickets and 6 student tickets. Find the price of a senior citizen ticket and the price of a student ticket.
Answer provided by our tutors
let
x = the price of a senior citizen ticket
y = the price of a student ticket
On the first day of ticket sales the school sold 2 senior citizen tickets and 11 student tickets for a total of $164:
2x + 11y = 164
The school took in $124 on the second day by selling 8 senior citizen tickets and 6 student tickets:
8x + 6y = 124
by solving the system of equations:
2x + 11y = 164
8x + 6y = 124
we find
x = $5
y = $14
click here to see the step by step solution of the system of equations:
the price of a senior citizen ticket is $5.
the price of a student ticket is $14.