How many & how much?

The engineering department was arranging for a rather expensive catered lunch to bid farewell to their retiring
colleague. They calculated that it would cost each person $30. One good mathematician remarked, “It’s lucky that
there aren’t five fewer of us to split the bill, or it would be $10 more from each.”
How many engineers split the bill, and how much did it cost?

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Twenty people split a $600 bill.

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