Answer:
636 premium tickets were sold
754 regular tickets were sold
Step-by-step explanation:
A 1400-seat theater sells two types of tickets for the concert. The tickets are premium tickets and regular tickets.
Let p= number premium tickets sold
Let r = number of regular tickets sold
Premium seats sell for $40 each and regular seats sell for $30 each.
This means that p premium tickets will sell for $40p and y regular tickets will sell for $30r.
At one event $48,060 was collected in ticket sales. This means that tickets sold at a total cost of $48,060 are
40p + 30r = 48,060 - - - - - - - - - 1
Total number of seats is 1400.
10 seats were left unsold. This means that number of seats sold is 1400 - 10 = 1390. Therefore,
p + r = 1390 - - - - - - - 2
Substituting p = 1390 - r into equation 1, it becomes
40(1390-r) + 30r = 48,060
55600 - 40r + 30r = 48060
- 40r + 30r = 48060 - 55600
-10r = -7540
r = -7540/-10
r = 754
p = 1390 - r
p = 1390- 754 = 636
