Problema Solution

The Alan Company bought 80 tickets for a jazz concert. After giving away 20 tickets to customers, the company sold the rest to employees at half of the purchase price. If the company absorbed a $1000 loss on all the tickets, how much did an employee pay for a ticket?

Answer provided by our tutors

Given:

N = number of tickets = 80

E = 60 ticket for the employee

Loss = $ 1,000

P = price of the ticket

E = purchase price for the employee


Price Employee ticket + Price customer ticket = loss

(80 - 20)P/2 + 20P = 1000

30P + 20P = 1000

50P = 1000

P = $ 20 per ticket


E = P/2

E = $ 20/2

E = $ 10 ← employee paid the ticket