Question

You and your friend Alex are looking to buy tickets for a big concert. You know that Ticket System charges $22 per person plus a $10 surcharge per transaction. You and Alex think you can get a better deal at Max Tickets or Ticket Meister, both of which are also selling tickets for the event. Pick one of these two sellers, and use your knowledge of linear systems to compare it with Ticket System and figure out who has the better deal. How many people have to buy tickets for the two companies to have the same price? How did you find your answer?

a) Alex needs to buy tickets.
b) Max Tickets and Ticket Meister have the same price regardless of the number of tickets.
c) The number of people buying tickets does not affect the price.
d) The number of people buying tickets affects the price, and the answer depends on the pricing structure of Max Tickets or Ticket Meister.

Answer 1

We created a hypothetical scenario to compare Ticket System with Max Tickets by forming a system of equations. After solving, we found that for three or more people, Max Tickets would offer a better deal. This shows that the number of people affects the price and it depends on the pricing structure of the sellers.

Step-by-step explanation:

To compare Ticket System with one of the other ticket sellers, Max Tickets or Ticket Meister, we need to establish the pricing structure of the chosen alternative and then set up a system of equations to find out how many people need to buy tickets for the prices to be the same. Unfortunately, the referenced information about burger and bus ticket purchases does not relate to the ticket pricing structures that we need to make the comparison for the concert tickets. Nevertheless, let's form a hypothetical example for how such a comparison could be made:

Suppose Max Tickets charges $20 per person with a $15 surcharge per transaction. The cost for 'n' people to buy tickets from Ticket System would be $22n + $10. Meanwhile, the cost from Max Tickets would be $20n + $15. To find the number of people for which the total cost is equal, we set up the following equation:

22n + 10 = 20n + 15

Solve for 'n':

• Subtract 20n from both sides: 2n + 10 = 15
• Subtract 10 from both sides: 2n = 5
• Divide by 2: n = 2.5

Since we can't have a half person, the break-even point would occur between 2 and 3 people. Thus, for three or more people, Max Tickets would provide a better deal than Ticket System in this hypothetical scenario.

The number of people buying tickets affects the price, and the answer indeed depends on the pricing structure of Max Tickets or Ticket Meister (option d).