Problema Solution
Tickets to a concert cost $12 in advance or $15 on the day of the performance. A total of 300 tickets are sold, and the total receipts were $4140. How many of each kind of ticket were sold?
Answer provided by our tutors
let
a = the number of $12 tickets sold
d = the number of $15 tickets on the day sold
A total of 300 tickets are sold
a + d = 300
the total receipts were $4140
12a + 15d = 4140
by solving the system of equations
a + d = 300
12a + 15d = 4140
we find
a = 120 tickets in advance
d = 180 tickets on the day of the performance
click here to see the step by step solution of the system of equations
there were 120 tickets in advance and 180 tickets on the day of the performance sold.