Question
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?
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?
Answers
GPT 3.5
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
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