# Number Theory: Problem 6

### Hints for part (a)

There aren't that many possibilities for n, so you could use
brute force and just check them all.

### Hints for part (b)

This is in a section on number theory. Perhaps you can find some
divisibility relationship between
\(n^2 + 9n -2\) and the total number of people.

Think about factoring \(n^2 + 9n -2\). Perhaps with a remainder
left over. What smaller polynomial might you want to factor out
of it?

When you write up your answer,
your example or proof should be related back to the
original problem. So it should mention muffins and people,
rather than consisting only of equations.