Question

The marker cost 1/3 as a pen.The pen cost 1/3 as much as the book.The book cost 1/3 as much as the game. The price of the marker is what fraction of the price of the game?

Answer 1

Let the price of game, marker, pen and book be $w, x, y and z.

$x = \frac{1}{3} y$
$y = \frac{1}{3} z$
$z = \frac{1}{3} w$
$x = \frac{1}{3} y \\ x = \frac{1}{3} ( \frac{1}{ 3} z) \\ x = \frac{1}{3} ( \frac{1}{3} ( \frac{1}{3} w) \\ x = \frac{1}{27} w$