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\begin{tabular}{|c|c|c|}
\hline Currency & USD/1 Unit & Units/1 USD \\
\hline
Canadian dollar & 0.97071 & 1.03069 \\
\hline
Euro & 1.35261 & 0.73935 \\
\hline
Japanese yen & 0.01007 & 99.30487 \\
\hline
Indian rupee & 0.01594 & 62.72053 \\
\hline
\end{tabular}

Mitchell travels from the US to Canada, where he exchanges 150 US dollars for Canadian dollars. He then spends 20 Canadian dollars, returns to the US, and exchanges the remaining money back to US dollars. How many US dollars does Mitchell have remaining?

A. 129.46
B. 130.00
C. 130.66
D. 134.59



Answer :

GinnyAnswer
Let's analyze the problem step by step to determine how many US dollars Mitchell has remaining after his transactions.

1. Initial Exchange from USD to CAD:
- Mitchell starts with 150 US dollars.
- The exchange rate for USD to CAD is 0.97071 CAD per 1 USD.
- The amount of CAD Mitchell receives can be calculated by multiplying 150 USD by the exchange rate of 0.97071.

[tex]\[ \text{CAD received} = 150 \, \text{USD} \times 0.97071 \, \text{CAD/USD} = 145.6065 \, \text{CAD} \][/tex]

2. Spending in Canada:
- Mitchell spends 20 CAD while in Canada.
- The remaining amount of CAD can be found by subtracting the amount spent from the CAD he initially received.

[tex]\[ \text{CAD remaining} = 145.6065 \, \text{CAD} - 20 \, \text{CAD} = 125.6065 \, \text{CAD} \][/tex]

3. Exchange from CAD back to USD:
- Mitchell decides to convert the remaining 125.6065 CAD back to USD.
- The exchange rate for CAD to USD is 1.03069 USD per 1 CAD.
- The amount of USD Mitchell gets can be calculated by multiplying the remaining CAD by the exchange rate of 1.03069.

[tex]\[ \text{USD remaining} = 125.6065 \, \text{CAD} \times 1.03069 \, \text{USD/CAD} = 129.4613 \, \text{USD} \][/tex]

4. Round to the Nearest Hundredth:
- The result 129.4613 USD should be rounded to the nearest hundredth for practical purposes.

[tex]\[ \text{USD remaining (rounded)} = 129.46 \, \text{USD} \][/tex]

Therefore, after all his transactions, Mitchell has 129.46 US dollars remaining. Thus, the correct answer is:

129.46

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