Question

For how many tickets will the cost be the same whether you buy the tickets online or at the door the night of the concert if tickets are $10 each online with an $8 service charge and $12 each at the door?

a) 4 tickets
b) 5 tickets
c) 6 tickets
d) 7 tickets

Answer 1

To find the number of tickets for which the cost is the same online and at the door, set up an equation and solve for x. The correct answer is 2 tickets.

Step-by-step explanation:

To find the number of tickets for which the cost is the same online and at the door, we can set up an equation.

Let x represent the number of tickets.

The cost of buying tickets online is $10 + $8 service charge = $18.

The cost of buying tickets at the door is $12 per ticket.

So, for x tickets, the equation would be: 12x = 18.

To find the value of x, we divide both sides of the equation by 12:

x = 18/12 = 3/2 = 1.5.

Since the number of tickets cannot be a fraction, the closest whole number is 2. So, when you buy 2 tickets, the cost will be the same whether you buy them online or at the door.

Therefore, the correct answer is: a) 2 tickets.