To determine how many Chinese yuan can be purchased for one US dollar, we'll follow a step-by-step approach:
1. Understand the Given Rate:
The exchange rate is given as:
[tex]\[
1 \text{ Chinese yuan} = 0.14567 \text{ US dollars}
\][/tex]
2. Convert the Exchange Rate:
We need to find out how many Chinese yuan can be bought with 1 US dollar, which means we need the reciprocal of the given exchange rate.
[tex]\[
\text{Yuan per dollar} = \frac{1 \text{ dollar}}{0.14567 \text{ dollars per yuan}}
\][/tex]
3. Perform the Division:
Calculate the reciprocal:
[tex]\[
\text{Yuan per dollar} = \frac{1}{0.14567} \approx 6.86565
\][/tex]
4. Round to Two Decimal Places:
We need to round the result to two decimal places:
[tex]\[
6.86565 \approx 6.87
\][/tex]
5. Conclude:
Therefore, you can buy approximately 6.87 Chinese yuan for one US dollar, rounded to two decimal places.
So, the correct answer is:
[tex]\[
6.87 \text{ Chinese yuan}
\][/tex]
Among the given options:
- 1.46
- 6.86
- 14.57
- 68.65
The closest answer is:
[tex]\[
6.86 \text{ Chinese yuan}
\][/tex]
