contestada

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?

Respuesta :

(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.
calculista

Answer:

The marker costs [tex]1/27[/tex] as much as the game

Step-by-step 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

[tex]x=\frac{1}{3}y[/tex] ----> equation A

[tex]y=\frac{1}{3}z[/tex] -----> equation B

[tex]z=\frac{1}{3}q[/tex] -----> equation C

Substitute equation C in equation B

[tex]y=\frac{1}{3}*\frac{1}{3}q=\frac{1}{9}q[/tex]

[tex]y=\frac{1}{9}q[/tex] ------> equation D

Substitute equation D in equation A

[tex]x=\frac{1}{3}*\frac{1}{9}q=\frac{1}{27}q[/tex]

[tex]x=\frac{1}{27}q[/tex]

therefore

The marker costs [tex]1/27[/tex] as much as the game

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