This Can Drive You Nuts!

Algebra Level 3

The 3 Wilson brothers and the 2 Martin brothers are sharing a bag of peanuts.
Ash Martin eats one more than a quarter of the whole lot.
Bill Wilson then eats one more than a quarter of the remainder.
Chip Martin eats one more than a quarter of what was left.
And Doug Wilson eats one more than a quarter of the remainder.
At this stage the Martin boys had eaten exactly 100 peanuts more than the Wilson brothers.
Finally, Earl Wilson finishes off all the remaining peanuts that were left.

The 3 Wilson boys ate more peanuts than the 2 Martin brothers, but exactly how many more?

This problem is not an original. It is adapted from a problem posed by Sam Loyd.

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