Suppose the chamber of commerce in Pinehurst, North Carolina decided to hold a professional golf tournament at the famous Pinehurst Country Club.  They would probably be able to get a TV contract from a major network.  The TV revenue would be about $4 million, and they would sell 60,000 tickets at $8 apiece.  The fund for prizes would be 20% of their total revenue (TV plus tickets) rounded to the nearest $10,000.  The prizes would be as follows (all prizes are rounded to the nearest dollar):

      First prize: 18% of the total prize money

      Second prize: 60% of the first prize

      Third prize: 65% of the second prize

      Fourth prize: 70% of the third prize

      Fifth prize: 75% of the fourth prize

      Sixth prize: 6% of the remaining prize money

      Seventh prize: $900 less than sixth prize

      Eighth prize: $900 less than seventh prize

And so on, with each subsequent prize $900 less than the previous prize.  The final prize would be whatever was leftover, even if it wasn’t $900 less than the previous prize.

Suppose two golfers finished in a tie for tenth place and they split the combined tenth and eleventh prizes.  How much did each of them get?

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