Problema Solution
A promoter priced tickets to a concert as follows: $17 when purchased in advanced and $20 when purchased at the door. The total number of tickets purchased was 514 and the ticket sales totaled $9158. How much of each type of ticket was sold?
Answer provided by our tutors
let
a = the number of tickets purchased in advance
d = the number of tickets purchased at the door
the total number of tickets purchased was 514
a + d = 514
the ticket sales totaled $9158
17a + 20d = 9158
by solving the system of equations
a + d = 514
17a + 20d = 9158
we find
a = 374 tickets
d = 140 tickets
click here to see the step by step solution of the system of equations
there were 374 tickets sold in advance and 140 tickets sold at the door.