Problem:
We are planning a fundraiser. We plan to charge $15 per ticket. We can rent a facility for $300.
Catered food will cost of $4 per meal, plus $100 for setting up the equipment.
A band would be hired to play for $200 plus 5% of the "gate" (gross ticket sales).
The fundraiser would like to net at least $4,000 from the event.
Question: How many tickets (no fractions) must be sold to achieve our goal? (Please provide specific detail in response).