At a Thanksgiving dinner for five people, two identical serving bowls of candied yams are passed around the table. The first two people take their servings from the first bowl, and each of them takes the same amount, say X% of the total in the bowl. The other three people take their servings from the second bowl and don't take equal amounts. However, each of these three people takes X% of what remains in the bowl when it is passed to them.

After the five people have taken their servings, the two bowls have equal amounts left in them. Now here's the question: if each bowl initially contained one pound of candied yams, how much remains in each bowl after the servings are completed? Be sure that your answer is EXACT.

Courtesy of Mark Nielsen