Pearls Pearls Pearls

Algebra Level 3

On a string of 33 pearls, the middle pearl is the largest and most
expensive of all.

Starting from one end, each pearl is worth $100 more than the one before, up to and including the middle pearl.

From the other end, each pearl is worth $150 more than the one before, up to and including the middle pearl.

The string of pearls is worth $65,000. What is the value of the middle pearl?

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