Question

To raise funds, a school sells raffle tickets to parents and students. The parent tickets cost $6 each and the student tickets cost $1.50 each. The school sold 371 tickets and raised a total of $822. How many students purchased a ticket?

Answer 1

Answer: 312 students purchased a ticket

Step-by-step explanation:

Let x represent the number of raffle tickets sold to parents.

Let y represent the number of raffle tickets sold to students.

The school sold 371 tickets. This means that

x + y = 371

x = 371 - y

The parent tickets cost $6 each and the student tickets cost $1.50 each and the school raised a total of $822. This means that

6x + 1.5y = 822 - - - - - - - -1

Substituting x = 371 - y into equation 1, it becomes

6(371 - y) + 1.5y = 822

2226 - 6y + 1.5y = 822

- 6y + 1.5y = 822 - 2226

- 4.5y = - 1404

y = -1404/-4.5

y = 312

x = 371 - y

x = 371 - 312

x = 59