Problema Solution
Anjali's school is selling tickets to the annual talent show. on the first day of ticket sales the school sold 11 adult tickets of 5 student tickets for a total of $218. The school took in $287 on the second day by selling 14 adult tickets and 7 student tickets. What is the Price each of one adult ticket and one student ticket? Set up a system of Equations and solve it
Answer provided by our tutors
let
a = the price of the adult ticket
s = the price of the student ticket
on the first day of ticket sales the school sold 11 adult tickets of 5 student tickets for a total of $218
11a + 5s = 218
the school took in $287 on the second day by selling 14 adult tickets and 7 student tickets
14a + 7s = 287
by solving the system of equations
11a + 5s = 218
14a + 7s = 287
we find
a = $13
s = $15
click here to see the step by step solution of the system of equations
the price of adult ticket is $13.
the price of student ticket is $15.