Question

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

Answer 1

(1/3)*(1/3)*(1/3)
(1/9)*(1/3)
(1/27)

The price of the Marker is 1/27 of the price of the game.

Answer 2

The marker costs
`1/27` as much as the game

Explanation:

Let

x-----> the cost of the marker

y-----> the cost of the pen

z----> the cost of the book

q----> the cost of the game

we know that

`x=(1)/(3)y` ----> equation A

`y=(1)/(3)z` -----> equation B

`z=(1)/(3)q` -----> equation C

Substitute equation C in equation B

`y=(1)/(3)*(1)/(3)q=(1)/(9)q`

`y=(1)/(9)q` ------> equation D

Substitute equation D in equation A

`x=(1)/(3)*(1)/(9)q=(1)/(27)q`

`x=(1)/(27)q`

therefore

The marker costs
`1/27` as much as the game