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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?

Respuesta :

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

[tex]x = \frac{1}{3} y[/tex]
[tex]y = \frac{1}{3} z[/tex]
[tex]z = \frac{1}{3} w[/tex]
[tex]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[/tex]

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