Sure! Let's go through the problem step-by-step to determine how many US dollars Mitchell has remaining after his trip to Canada.
1. Initial Amount in USD:
Mitchell starts with 150 US dollars.
2. Exchange USD to Canadian Dollar:
The exchange rate is given as 0.97071 USD for 1 Canadian dollar. To find out how many Canadian dollars Mitchell gets for his 150 USD, we divide:
[tex]\[
\text{Canadian dollars} = \frac{150 \text{ USD}}{0.97071 \text{ USD per CAD}} \approx 154.53 \text{ CAD}
\][/tex]
3. Spending in Canada:
Mitchell spends 20 Canadian dollars. To find out how many Canadian dollars he has left:
[tex]\[
\text{Remaining CAD} = 154.53 \text{ CAD} - 20 \text{ CAD} = 134.53 \text{ CAD}
\][/tex]
4. Exchange Remaining CAD back to USD:
Now, we need to convert the remaining 134.53 CAD back to USD. The exchange rate is given as 1.03069 Canadian dollars for 1 US dollar. To find out how many US dollars Mitchell gets, we divide:
[tex]\[
\text{Remaining USD} = \frac{134.53 \text{ CAD}}{1.03069 \text{ CAD per USD}} \approx 130.52 \text{ USD}
\][/tex]
5. Conclusion:
After spending 20 CAD in Canada and converting the remaining money back to US dollars, Mitchell has approximately 130.52 US dollars remaining.
Thus, the closest answer to the calculated amount is:
130.66
But these are the options given:
129.46
130.00
130.66
134.59
The correct answer is:
130.66
