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 = (1)/(3) y`

`y = (1)/(3) z`

`z = (1)/(3) w`

`x = (1)/(3) y \\ x = (1)/(3) ( (1)/( 3) z) \\ x = (1)/(3) ( (1)/(3) ( (1)/(3) w) \\ x = (1)/(27) w`