Problems 50–60 do not match the examples in this text, but all the problem-solving techniques necessary to answer these questions have been covered in this text. These problems are designed to test your problem-solving abilities.

A tour agency is booking a tour and has 100 people signed up. The price of a ticket is $2,500 per person. The agency has booked a plane seating 150 people at a cost of $240,500. Additional costs to the agency are incidental fees of $500 per person. For each $5 that the price is lowered, a new person will sign up. How much should be charged for a ticket so that the income and expenses will be the same? The lower price will be charged to all participants, even those already signed up.