Peas Galore Puzzle

The Puzzle:

Peas Galore
At a school fete people were asked to guess how many peas there were in a jar.

No one guessed correctly, but the nearest guesses were 163, 169, 178 and 182.

One of the numbers was one out, one was three out, one was ten out and the other sixteen out.

How many peas were there in the jar?


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