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A university is planning to hold an event at a local venue, which will charge a fixed rental fee of $750 for the event plus

A university is planning to hold an event at a local venue, which will charge a fixed rental fee of $750 for the event plus $20.90 per guest for food. The university has budgeted $995 for administrative and marketing expenses. It plans to hire a band, which will cost another $585. Tickets are expected to sell for $44.30 per guest. Ignore taxes. How many tickets must be sold if the university plans to raise $5,385 in net cash flow from this event?

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