Calculating Currency Exchange

\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}

Raj is visiting the United States and needs to convert 2,000 rupees to US dollars.

[tex]\[ (2{,}000 \text{ rupees}) \left(\frac{0.01594 \text{ USD}}{1 \text{ unit rupee}}\right) \][/tex]

Raj will have \$[tex]\(\square\)[/tex] USD.



Answer :

To determine how many U.S. dollars Raj will have after converting 2,000 Indian rupees, we can follow these steps:

1. Identify the exchange rate: We know that the exchange rate between 1 Indian rupee and USD is 0.01594. This means that for every Indian rupee, Raj will get 0.01594 USD.

2. Set up the conversion: To find out how many USD Raj will get from 2,000 Indian rupees, we multiply the amount in rupees by the exchange rate. This can be written as:
[tex]\[ \text{Amount in USD} = \text{Amount in rupees} \times \text{Exchange rate} \][/tex]

3. Carry out the multiplication: Plugging in the known values:
[tex]\[ \text{Amount in USD} = 2000 \, \text{rupees} \times 0.01594 \, \text{USD/rupee} \][/tex]

4. Calculating the final amount: When 2000 is multiplied by 0.01594, we get:
[tex]\[ \text{Amount in USD} = 31.88 \, \text{USD} \][/tex]

Thus, after converting 2,000 rupees to U.S. dollars, Raj will have [tex]\( \$31.88 \)[/tex] USD.