In a mixture of Skettles and M&M′s,
80% of the pieces are M&M′s. A fourth
of this mixture is replaced by a second
mixture, resulting in combination
which contain 16% Skittles in total.
What was the percentage of Skittles
in the second mixture?
Let σ(n) be the sum of all positive
divisors of the integer n and let p be
any prime number. show that
σ(n)<2n holds true for all n of the
form n=p^2 .
Mastermind