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MathNet 2006 — Part 03 Question 3

Math Olympiad Vault · MathNet 2006 — Part 03

Question 3

Between 1986 and 1989, our country's currency was the Cruzado ($\mathrm{Cz\ \$}$). Since then, we have had the Cruzado Nova, Cruzeiro, Cruzeiro Novo and, today, we have the Real. To compare values ​​from the time of the Cruzado and today, economists calculated that 1 real is equivalent to 2,750,000,000 Cruzados.

Imagine that the currency had not changed and that João, who currently earns 640 reais per month, had to receive his salary in 1-cruz notes each. If a stack of 100 1-cross notes is $1{,}5\ \mathrm{~cm}$ high, how tall would João's salary be?


A) $26{,}4\ \mathrm{~km}$

B) $264\ \mathrm{~km}$

C) $26400\ \mathrm{~km}$

D) $264000\ \mathrm{~km}$

E) $2640000\ \mathrm{~km}$