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Suppose the exchange rate of US dollar to Japanese yen exchange rate is $1 for every 107.35 yen, and the Japanese yen to Bitcoin exchange rate is 1,086,300 yen for every 1 Bitcoin. If someone traded $83,000 US dollars for Japanese yen, then traded the yen for Bitcoin, how many Bitcoin would that person end up with? Round your answer to the nearest whole Bitcoin.

Answer :

Answer:

The person would end up with 8 Bitcoins.

Step-by-step explanation:

This question can be solved by consecutive rules of three.

If someone traded $83,000 US dollars for Japanese yen, then traded the yen for Bitcoin, how many Bitcoin would that person end up with?

Each US dollar is worth 107.35 yen. So how many yens are $83,000 US dollars worth?

$1 - 107.35 yen

$83,000 - x yen

[tex]x = 83000*107.35[/tex]

[tex]x = 8,910,050[/tex]

The person has 8,910,050 yens. Each bitcoin is worth 1,086,300 yens. How many bitcoins are worth 8,910,050 yens?

1 bitcoin - 1,086,300 yens

x bitcoins - 8,910,050 yens

[tex]1086300x = 8910050[/tex]

[tex]x = \frac{8910050}{1086300}[/tex]

[tex]x = 8.2[/tex]

Rouded to the nearest whole Bitcoin, is 8.

So the person would end up with 8 Bitcoins.

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