Questions: On December 13, 2007, one U.S. dollar was worth 10.83 Mexican pesos. (a) On that date, how many dollars was 150.68 pesos worth? Round your answer to the nearest hundredth of a dollar. dollars (b) On that date, how many pesos was 103.64 dollars worth? Round your answer to the nearest hundredth of a peso. pesos

Solution Steps

Given that 1 U.S. dollar is worth 10.83 Mexican pesos, we can find the exchange rate from pesos to dollars by taking the reciprocal of 10.83.

\[ \text{Exchange rate from pesos to dollars} = \frac{1}{10.83} \approx 0.0923 \]

Using the exchange rate from pesos to dollars, we can convert 150.68 pesos to dollars.

\[ 150.68 \, \text{pesos} \times 0.0923 \, \frac{\text{dollars}}{\text{peso}} \approx 13.90 \, \text{dollars} \]

Using the given exchange rate of 1 U.S. dollar = 10.83 Mexican pesos, we can convert 103.64 dollars to pesos.

\[ 103.64 \, \text{dollars} \times 10.83 \, \frac{\text{pesos}}{\text{dollar}} \approx 1122.45 \, \text{pesos} \]

Final Answer