Central High School (CHS) is hosting a fundraising event.

The venue, decorations, and disc jockey cost $1,400. The venue can hold at most 300 students. Tickets cost $20 for a CHS student and $30 for a non-CHS student. Let s represent number of CHS student tickets sold, and let n represent number of non-CHS student tickets sold. If the school wants to earn money on this event, which system of inequalities represents the numbers of tickets that should be sold?

1 answer

Let x be the number of CHS student tickets sold and y be the number of non-CHS student tickets sold.

The total revenue from ticket sales can be represented as:
20x + 30y

The total number of students attending the event can be represented as:
x + y <= 300

The total cost of the event is $1,400, so the school wants to earn money from ticket sales:
20x + 30y > 1400

Therefore, the system of inequalities that represents the numbers of tickets that should be sold is:
x + y <= 300
20x + 30y > 1400