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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?

Verified Answer :

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To answer the question above we must take note that based on the given, before reaching the price of the marker, the price of the game should be multiplied by 1/3 three times such that,
                         price of the marker = (price of the game) *(1/3)^3
                           price of the marker = (price of the game)(1/27)
Thus, the answer is 1/27.

Answer:

The answer is \(\frac{1}{27}*g\)

Step-by-step explanation:

In order to determine the fraction of the price, we have to write all the relations between the prices of each stuff.

Let:

m=marker price

p=pen price

b=book price

g=game price

So,

\(m=\frac{1}{3}*p\\p=\frac{1}{3}*b\\b=\frac{1}{3}*g\)

Then,

\(p=\frac{1}{3}*( \frac{1}{3}*g)\\m=\frac{1}{3}* (\frac{1}{3}*( \frac{1}{3}*g))\\m=\frac{1}{27} *g\)

Finally, the price of the marker in fraction of the price of the game is \(\frac{1}{27}*g\)

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