Canadian Currency Exchange worksheet - Free Printable

Problem Analysis

The task involves currency conversion using the provided exchange rates. The exchange rates are given for 1 Canadian Dollar (C$) in terms of other currencies. We will use these rates to solve the problems step by step.

#### Exchange Rates (from the table):
- 1 C$ = 1.2706609 US$
- 1 C$ = 1.7283227 British pounds (£)
- 1 C$ = 1.4418247 Euros (€)
- 1 C$ = 0.011046196 Japanese yen (¥)
- 1 C$ = 0.008124851 Jamaican dollars (J$)

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Solution to Each Problem

#### Problem 1: Convert C$435 to the following currencies
We need to convert C$435 into:
1. a) US dollars
2. b) euros
3. c) British pounds
4. d) Japanese yen

##### a) Convert C$435 to US dollars
Using the exchange rate:
1 C$ = 1.2706609 US$

\[
\text{US dollars} = 435 \times 1.2706609 = 553.1581115 \approx 553.16 \, \text{US dollars}
\]

##### b) Convert C$435 to euros
Using the exchange rate:
1 C$ = 1.4418247 €

\[
\text{Euros} = 435 \times 1.4418247 = 627.6085485 \approx 627.61 \, \text{euros}
\]

##### c) Convert C$435 to British pounds
Using the exchange rate:
1 C$ = 1.7283227 £

\[
\text{British pounds} = 435 \times 1.7283227 = 752.8885845 \approx 752.89 \, \text{British pounds}
\]

##### d) Convert C$435 to Japanese yen
Using the exchange rate:
1 C$ = 0.011046196 ¥

\[
\text{Japanese yen} = 435 \times 0.011046196 = 4.80488532 \approx 4.80 \, \text{Japanese yen}
\]

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#### Problem 2: Convert each of the following amounts to Canadian dollars
We need to convert:
1. a) US$255
2. b) J$95
3. c) ¥25,000
4. d) £4300

##### a) Convert US$255 to Canadian dollars
Using the exchange rate:
1 C$ = 1.2706609 US$
This implies:
1 US$ = \(\frac{1}{1.2706609}\) C$ ≈ 0.787011 C$

\[
\text{Canadian dollars} = 255 \times 0.787011 = 200.537805 \approx 200.54 \, \text{C$}
\]

##### b) Convert J$95 to Canadian dollars
Using the exchange rate:
1 C$ = 0.008124851 J$
This implies:
1 J$ = \(\frac{1}{0.008124851}\) C$ ≈ 123.076923 C$

\[
\text{Canadian dollars} = 95 \times 123.076923 = 11742.307685 \approx 11742.31 \, \text{C$}
\]

##### c) Convert ¥25,000 to Canadian dollars
Using the exchange rate:
1 C$ = 0.011046196 ¥
This implies:
1 ¥ = \(\frac{1}{0.011046196}\) C$ ≈ 90.525316 C$

\[
\text{Canadian dollars} = 25000 \times 90.525316 = 2263132.9 \approx 2263132.90 \, \text{C$}
\]

##### d) Convert £4300 to Canadian dollars
Using the exchange rate:
1 C$ = 1.7283227 £
This implies:
1 £ = \(\frac{1}{1.7283227}\) C$ ≈ 0.5787036 C$

\[
\text{Canadian dollars} = 4300 \times 0.5787036 = 2488.42548 \approx 2488.43 \, \text{C$}
\]

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#### Problem 3: Which amount has the greatest value in Canadian dollars?
We need to compare:
1. US$15
2. €11
3. £10

##### Convert each amount to Canadian dollars:

1. US$15 to C$:
Using the exchange rate:
1 US$ = 0.787011 C$

\[
\text{C$} = 15 \times 0.787011 = 11.805165 \approx 11.81 \, \text{C$}
\]

2. €11 to C$:
Using the exchange rate:
1 € = \(\frac{1}{1.4418247}\) C$ ≈ 0.693661 C$

\[
\text{C$} = 11 \times 0.693661 = 7.620271 \approx 7.62 \, \text{C$}
\]

3. £10 to C$:
Using the exchange rate:
1 £ = \(\frac{1}{1.7283227}\) C$ ≈ 0.5787036 C$

\[
\text{C$} = 10 \times 0.5787036 = 5.787036 \approx 5.79 \, \text{C$}
\]

##### Comparison:
- US$15 = 11.81 C$
- €11 = 7.62 C$
- £10 = 5.79 C$

The greatest value is US$15.

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#### Problem 4: Which amount has the least value in Canadian dollars?
We need to compare:
1. J$54,631
2. ¥54,133
3. US$649

##### Convert each amount to Canadian dollars:

1. J$54,631 to C$:
Using the exchange rate:
1 J$ = 123.076923 C$

\[
\text{C$} = 54631 \times 123.076923 = 6730000.00 \approx 6730000.00 \, \text{C$}
\]

2. ¥54,133 to C$:
Using the exchange rate:
1 ¥ = 90.525316 C$

\[
\text{C$} = 54133 \times 90.525316 = 4897000.00 \approx 4897000.00 \, \text{C$}
\]

3. US$649 to C$:
Using the exchange rate:
1 US$ = 0.787011 C$

\[
\text{C$} = 649 \times 0.787011 = 511.03 \approx 511.03 \, \text{C$}
\]

##### Comparison:
- J$54,631 = 6730000.00 C$
- ¥54,133 = 4897000.00 C$
- US$649 = 511.03 C$

The least value is US$649.

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Final Answers:

1. a) 553.16 US dollars
b) 627.61 euros
c) 752.89 British pounds
d) 4.80 Japanese yen

2. a) 200.54 C$
b) 11742.31 C$
c) 2263132.90 C$
d) 2488.43 C$

3. US$15

4. US$649

\boxed{553.16, 627.61, 752.89, 4.80, 200.54, 11742.31, 2263132.90, 2488.43, \text{US\$15}, \text{US\$649}}