6. The lempira is the currency of Honduras, and the quetzal is the currency of Guatemala. In January 2016, the exchange rates for United States dollars and the other two currencies were 1 United States dollar for 22.48 lempiras and 1 United States dollar for 7.55 quetzales. Based on these exchange rates, approximately what was the value of 1 lempira in quetzales?
Answer: B
1 lempira is approximately 0.34 quetzales.
To determine the value of 1 lempira in quetzales, we can use the exchange rates provided. Since 1 United States dollar equals 22.48 lempiras and 7.55 quetzales, we can set up the conversion as follows: 1 lempira = (1 USD / 22.48 lempiras) * 7.55 quetzales, which calculates to approximately 0.334 quetzales, rounding to 0.34.
A) 0.07
This option is incorrect because it significantly underestimates the value of 1 lempira in quetzales. The calculations based on the given exchange rates do not support such a low conversion.
B) 0.34
This option is correct as it accurately reflects the calculated value of 1 lempira in quetzales. The conversion using the provided exchange rates shows that 1 lempira is worth approximately 0.34 quetzales, confirming this choice.
C) 2.98
This option is incorrect as it overestimates the value of 1 lempira in quetzales. The calculations indicate a much lower value, making this option inconsistent with the exchange rates provided.
D) 14.93
This option is incorrect because it greatly exceeds the actual value of 1 lempira in quetzales. The calculations show that the true conversion is far less than this figure, rendering this choice invalid.
E) 169.72
This option is incorrect as it is an exaggerated value that does not align with the calculations derived from the exchange rates provided. The actual value is significantly lower than this number.
Conclusion
The correct answer, 0.34 quetzales, is derived from the accurate conversion of exchange rates, confirming its validity. The other options fail due to either underestimating or overestimating the value of 1 lempira, demonstrating a lack of alignment with the given data.