Question

You are selling raffle tickets for a fundraiser to both students and their

parents. The tickets cost $1 for students and $2 for parents. You know already
that at least four students and at least two parents will purchase tickets. You
can sell up to a total of 30 tickets. Which of the following is the maximum
amount of money you could earn by selling tickets?

Answer 1

The maximum amount of money you could earn by selling tickets is $72.

Step-by-step explanation:

The maximum amount of money you could earn by selling tickets is $72.

To find this, you need to determine the number of student tickets and parent tickets that can be sold while staying within the limit of 30 tickets.

Since there must be at least 4 student tickets and 2 parent tickets, let's assume you sell 4 student tickets and 2 parent tickets. This already totals to $10.

Now, you have 24 tickets remaining. If you sell 24 student tickets at $1 each, you will earn an additional $24. Therefore, the maximum amount you could earn is $10 + $24 = $34.

However, since you can also sell parent tickets, you can sell 12 parent tickets at $2 each, which will earn you an additional $24. So, the maximum amount you could earn is $34 + $24 = $72.