Question

Ticket sales for the school fair brought in receipts of $8,250 for 2,480 tickets sold if adult tickets cost $4 and student tickets cost$3 how many of each ticket were sold

Answer 1

Tickets prices (per unit):

Adults: $4

Students: $3

Tickets sold: 2480

Earnings: $8250

If the school sold A adult tickets and S student tickets, then we have:

A + S = 2480

or

S = 2480 - A ...(1)

For the total earnings:

Earnings for adult tickets = 4*A

Earnings for student tickets = 3*S

Total earnings = 4A + 3S = 8250 ...(2)

If we replace (1) on (2):

4A + 3*(2480 - A) = 8250

Solving for A:

4A - 3A + 7440 = 8250

A = 8250 - 7440

A = 810

Now, from (1):

S = 2480 - 810

S = 1670

We conclude that 810 adult tickets and 1670 student tickets were sold during the school fair.