To determine how many dollars Asanji received by exchanging 42.7 Pesos at the given exchange rate [tex]$\$[/tex]5.30 = 11.1[tex]$ Pesos, we can follow these steps:
1. Identify the given quantities:
- Amount in Pesos: 42.7 Pesos
- Exchange rate: 5.30 dollars per 11.1 Pesos
2. Understand the exchange rate proportion:
- The exchange rate tells us that 11.1 Pesos is equivalent to 5.30 dollars.
3. Set up the proportion for converting Pesos to dollars:
To find out how many dollars \( D \) Asanji receives for his 42.7 Pesos, we can use the proportion:
\(\frac{\text{amount in dollars}}{\text{amount in Pesos}} = \frac{5.30}{11.1}\)
Thus, we need to solve for \( D \):
\( D = 42.7 \times \left(\frac{5.30}{11.1}\right) \)
4. Calculate the amount in dollars:
- First, compute the ratio:
\(\frac{5.30}{11.1} \approx 0.477477\)
- Then, multiply this ratio by the amount in Pesos:
\( D = 42.7 \times 0.477477 \approx 20.38828828828829 \)
5. Round the result to the nearest cent:
The exact dollar amount we computed is approximately 20.38828828828829 dollars. To round this to the nearest cent, we look at the third decimal place (which is 8, indicating we should round up):
\( D \approx 20.39 \)
So, after converting 42.7 Pesos at the given exchange rate of $[/tex]\[tex]$5.30 = 11.1$[/tex] Pesos, Asanji receives \[tex]$20.39.
Therefore, the correct choice is:
\$[/tex]20.39
