Problema Solution
The school that matt goes to is selling tickets 2 the annual talent show. On the first day of ticket sales the school sold 7 adult tickets and 10 student ticketsfor a total of $206. The school took in $134 on the second day by selling 13 adult tickets and 2 student tickets.find the price of an adult ticket and the price of a student ticket.
Answer provided by our tutors
let
a = the price of an adult ticket
s = the price of a student ticket
On the first day of ticket sales the school sold 7 adult tickets and 10 student tickets for a total of $206:
7a + 10s = 206
The school took in $134 on the second day by selling 13 adult tickets and 2 student tickets:
13a + 2s = 134
by solving the system of equations
7a + 10s = 206
13a + 2s = 134
we find
a = $8
s = $15
click here to see the step by step solution of the system of equations
the price of an adult ticket is $8.
the price of a student ticket is $15.