# The Pearl Necklace Puzzle - Solution

### The Puzzle:

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?

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?

### Our Solution:

The value of the central pearl is $3000.

The pearl at one end (from which they increased in value by $100): $1400.

The pearl at the other end: $600.

The pearl at one end (from which they increased in value by $100): $1400.

The pearl at the other end: $600.

Puzzle Author: Stephen Froggatt

*See this puzzle without solution*

*Discuss this puzzle at the Math is Fun Forum*