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?

Rationale

Approximately 0.34 quetzales is the value of 1 lempira.

To find the value of 1 lempira in quetzales, we can use the given exchange rates. Since 1 USD equals 22.48 lempiras and 1 USD equals 7.55 quetzales, we can calculate the conversion by dividing the number of quetzales by the number of lempiras.

A (0.07) YOUR ANSWER

This value suggests that 1 lempira is worth only 0.07 quetzales. To achieve this, the exchange rate would imply a much higher value for the lempira compared to the quetzal, which contradicts the provided exchange rates. This choice is not mathematically feasible.

B (0.34) CORRECT

This is the correct choice. To calculate, we divide 7.55 (the value of 1 USD in quetzales) by 22.48 (the value of 1 USD in lempiras), resulting in approximately 0.335 quetzales for 1 lempira, which rounds to 0.34. This aligns perfectly with the calculated exchange rate.

C (2.98) YOUR ANSWER

This option indicates that 1 lempira is worth 2.98 quetzales, which would imply that the lempira is significantly stronger than the quetzal. This is inconsistent with the provided exchange rates and thus incorrect.

D (14.93) YOUR ANSWER

This suggests that 1 lempira is equivalent to 14.93 quetzales, indicating an extreme undervaluation of the quetzal relative to the lempira. Given the exchange rates, this value is not supported by the calculations.

E (169.72) YOUR ANSWER

This choice implies an unrealistic exchange rate where 1 lempira could equal 169.72 quetzales, suggesting the lempira is far more valuable than it is in reality according to the given exchange rates. This is mathematically impossible.

Conclusion

The value of 1 lempira in quetzales can be accurately calculated using the exchange rates provided. By dividing the USD equivalent of quetzales by that of lempiras, we find that 1 lempira is approximately equal to 0.34 quetzales, making this option the only correct choice among the alternatives presented.

Approximately 0.34 quetzales is the value of 1 lempira.

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