Questions: On December 13, 2007, one Chinese yuan was worth 0.14 U.S. dollars. (a) On that date, how many yuan was 29.11 dollars worth? Round your answer to the nearest hundredth of a yuan. yuan (b) On that date, how many dollars was 191.77 yuan worth? Round your answer to the nearest hundredth of a dollar. dollars

On December 13, 2007, one Chinese yuan was worth 0.14 U.S. dollars. (a) On that date, how many yuan was 29.11 dollars worth? Round your answer to the nearest hundredth of a yuan. yuan (b) On that date, how many dollars was 191.77 yuan worth? Round your answer to the nearest hundredth of a dollar. dollars
Transcript text: On December 13, 2007, one Chinese yuan was worth 0.14 U.S. dollars. (a) On that date, how many yuan was 29.11 dollars worth? Round your answer to the nearest hundredth of a yuan. $\square$ yuan (b) On that date, how many dollars was 191.77 yuan worth? Round your answer to the nearest hundredth of a dollar. $\square$ dollars
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Solution

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Solution Steps

Step 1: Convert USD to CNY

Given an amount of $29.11 USD and an exchange rate of 0.14 USD/CNY, the formula to convert USD to CNY is: $$ \text{Amount in Yuan} = \frac{\text{Amount in Dollars}}{\text{Exchange Rate}} $$

Step 2: Calculation

Substituting the given values into the formula, we get: $$ \text{Amount in Yuan} = \frac{29.11}{0.14} = 207.93 $$

Final Answer:

The equivalent amount in Chinese yuan is ¥207.93.

Step 1: Convert CNY to USD

Given an amount of ¥191.77 CNY and an exchange rate of 0.14 USD/CNY, the formula to convert CNY to USD is: $$ \text{Amount in Dollars} = \text{Amount in Yuan} \times \text{Exchange Rate} $$

Step 2: Calculation

Substituting the given values into the formula, we get: $$ \text{Amount in Dollars} = 191.77 \times 0.14 = 26.85 $$

Final Answer:

The equivalent amount in U.S. dollars is $26.85.

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