Question

jun, who lives in the united states, is on a trip to south america. he is going first to argentina, where the currency is the argentine peso ($), then to bolivia, where the currency is the bolivian boliviano (bs.). as he is traveling from argentina to bolivia, he finds that he has the equivalent of us $671 in pesos, which he wishes to convert to bolivianos. if, at the time of juns exchange, the exchange rate of the us dollar to the argentine peso is 1:3.8056 and the exchange rate of the argentine peso to the bolivian boliviano is 1:1.8903, how many bolivianos does jun have? round all currencies to two decimal places.
a. 93.28 bs.
b. 1,268.39 bs.
c. 2,553.56 bs.
d. 4,826.99 bs.

Explanation:

Convert US dollars to Argentine pesos

Using the Currency Conversion knowledge point

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Convert Argentine pesos to Bolivian bolivianos

Using the Currency Conversion knowledge point

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Alternatively, using the rounded ARS value:

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Let's check the options. Option (d) is 4,826.99 Bs. Let's calculate without intermediate rounding:

$$ 671 \times 3.8056 \times 1.8903 = 4826.9999 $$

If we round the intermediate step to two decimal places first:

$$ \text{ARS} = 2553.56 $$

$$ \text{BOB} = 2553.56 \times 1.8903 = 4827.00 $$

If we round at the very end:

$$ 4826.9999 \approx 4827.00 $$

Let's check if there is a slight rounding discrepancy in the question's options where they truncated or rounded differently:

$$ 2553.5576 \times 1.8903 = 4826.9999 $$

If they truncated to two decimal places:

$$ 2553.55 \times 1.8903 = 4826.98 $$

If they used:

$$ 671 \times 3.8056 = 2553.5576 \approx 2553.56 $$

Then:

$$ 2553.56 \times 1.8903 = 4827.00 $$

Option (d) is 4,826.99 Bs., which is extremely close to 4,827.00 Bs. and is the only option in this range.

Answer:

• (a) 93.28 Bs.
• (b) 1,268.39 Bs.
• (c) 2,553.56 Bs.
• (d) 4,826.99 Bs. (Correct answer)