The Pearl Necklace Puzzle

The Puzzle:

The Pearl Necklace
A pearl necklace has 33 pearls with the largest and most valuable in the middle.

Starting from one end, each successive pearl is worth $100 more than the one before (up to the middle one), but starting from the other end each pearl is worth $150 more than the one before, up to the big pearl. The whole necklace is worth $65 000.

What is the value of the middle pearl?



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