Question

gary is looking over his receipts from his trip to europe. when he was in germany, he exchanged us dollars for euros at a rate of 1:0.7716, and when he was in poland, he exchanged euros for polish zloty at a rate of 1:4.0518. to four decimal places, what was the exchange rate of us dollars to polish zloty?
a. 1:0.3199
b. 1:3.1264
c. 1:4.8234
d. 1:5.2512

Explanation:

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<reasoning>

Identify the given exchange rates

Using the Currency Conversion knowledge point
\[

$$\begin{aligned} &1\text{ USD} = 0.7716\text{ EUR} \\ &1\text{ EUR} = 4.0518\text{ PLN} \end{aligned}$$

\]

Calculate the USD to PLN rate

Using the Currency Conversion knowledge point
\[

$$\begin{aligned} 1\text{ USD} &= 0.7716\text{ EUR} \times 4.0518\text{ PLN/EUR} \\ 1\text{ USD} &= 3.12636888\text{ PLN} \end{aligned}$$

\]

Round to four decimal places

Using the Currency Conversion knowledge point
\[

$$\begin{aligned} &3.12636888 \approx 3.1264 \\ &\text{Exchange Rate} = 1:3.1264 \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-option>a. 1:0.3199</mcq-option>
<mcq-correct>b. 1:3.1264</mcq-correct>
<mcq-option>c. 1:4.8234</mcq-option>
<mcq-option>d. 1:5.2512</mcq-option>
</answer>

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Answer:

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<reasoning>

Identify the given exchange rates

Using the Currency Conversion knowledge point
\[

$$\begin{aligned} &1\text{ USD} = 0.7716\text{ EUR} \\ &1\text{ EUR} = 4.0518\text{ PLN} \end{aligned}$$

\]

Calculate the USD to PLN rate

Using the Currency Conversion knowledge point
\[

$$\begin{aligned} 1\text{ USD} &= 0.7716\text{ EUR} \times 4.0518\text{ PLN/EUR} \\ 1\text{ USD} &= 3.12636888\text{ PLN} \end{aligned}$$

\]

Round to four decimal places

Using the Currency Conversion knowledge point
\[

$$\begin{aligned} &3.12636888 \approx 3.1264 \\ &\text{Exchange Rate} = 1:3.1264 \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-option>a. 1:0.3199</mcq-option>
<mcq-correct>b. 1:3.1264</mcq-correct>
<mcq-option>c. 1:4.8234</mcq-option>
<mcq-option>d. 1:5.2512</mcq-option>
</answer>

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