World Currencies: Exchange Rate Word Problems - TeacherVision - Free Printable
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Step-by-step solution for: World Currencies: Exchange Rate Word Problems - TeacherVision
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Show Answer Key & Explanations
Step-by-step solution for: World Currencies: Exchange Rate Word Problems - TeacherVision
Let's solve each problem step by step using the exchange rate table provided:
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| Currency | USD ($) | GBP (£) | CAD ($) | EUR (€) | AUD ($) |
|---------|--------|--------|--------|--------|--------|
| USD ($) | 1.00 | 0.65 | 1.28 | 0.87 | 1.35 |
| GBP (£) | 1.54 | 1.00 | 1.97 | 1.34 | 2.08 |
| CAD ($) | 0.78 | 0.51 | 1.00 | 0.67 | 1.04 |
| EUR (€) | 1.15 | 0.75 | 1.49 | 1.00 | 1.55 |
| AUD ($) | 0.74 | 0.48 | 0.96 | 0.65 | 1.00 |
> Note: The table shows how much of one currency you get for 1 unit of another. For example, 1 USD = 1.35 AUD.
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Charlotte earned $100 for walking dogs. She wants to buy a toy that costs $120 AUD. After her purchase, how much money will she have left in British pounds?
#### Step 1: Convert Charlotte’s $100 USD to AUD
From the table:
1 USD = 1.35 AUD
So, $100 USD = 100 × 1.35 = 135 AUD
#### Step 2: Subtract cost of toy
Toy costs 120 AUD
Remaining = 135 - 120 = 15 AUD
#### Step 3: Convert remaining 15 AUD to GBP
We need to convert AUD → GBP
From the table: 1 AUD = 0.48 GBP
So, 15 AUD = 15 × 0.48 = 7.20 GBP
✔ Answer: 7.20 GBP
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Jack lives in Ottawa, Canada. His uncle lives in London, England. For his birthday, Jack received £25 from his uncle. How many Canadian dollars can he buy with his birthday money?
We are converting GBP → CAD
From the table:
1 GBP = 1.97 CAD
So, £25 = 25 × 1.97 = 49.25 CAD
✔ Answer: 49.25 CAD
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Olivia lives in Sydney, Australia. Her grandmother lives in Paris, France. For Christmas, Olivia sent €60 to her grandmother. How many Australian dollars can she buy with her Christmas money?
We are converting EUR → AUD
From the table:
1 EUR = 1.55 AUD
So, €60 = 60 × 1.55 = 93 AUD
✔ Answer: 93 AUD
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William has $11 USD. The video game he wants to buy costs $10 CAD. Does he have enough money to buy the game? If not, how much more US dollars does he need?
Step 1: Convert William’s $11 USD to CAD
1 USD = 1.28 CAD
So, $11 = 11 × 1.28 = 14.08 CAD
The game costs $10 CAD → He has more than enough.
✔ Answer: Yes, he has enough money.
(No additional money needed.)
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Sophie paid €35. She wants to purchase jeans for $25 CAD and a tee shirt for $15 CAD. After her purchases, how many euros will she have left? (Round to the nearest euro)
Step 1: Total cost of items in CAD
Jeans: $25 CAD
Tee shirt: $15 CAD
Total = 25 + 15 = $40 CAD
Step 2: Convert $40 CAD to EUR
From table: 1 CAD = 0.67 EUR
So, $40 CAD = 40 × 0.67 = 26.80 EUR
Step 3: Sophie had €35
Leftover = 35 - 26.80 = 8.20 EUR
Rounded to nearest euro = 8 EUR
✔ Answer: 8 EUR
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Which currency in the table has the highest valued currency unit?
We compare how much each currency is worth in USD, since USD is the base.
- 1 USD = 1.00 USD → value = 1.00
- 1 GBP = 1.54 USD → value = 1.54
- 1 CAD = 0.78 USD → value = 0.78
- 1 EUR = 1.15 USD → value = 1.15
- 1 AUD = 0.74 USD → value = 0.74
The highest value per unit is GBP at 1.54 USD.
✔ Answer: British Pound (GBP)
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1. 7.20 GBP
2. 49.25 CAD
3. 93 AUD
4. Yes, he has enough money.
5. 8 EUR
Bonus: British Pound (GBP)
Let me know if you'd like this formatted as a printable answer sheet!
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Exchange Rate Table (per 1 USD):
| Currency | USD ($) | GBP (£) | CAD ($) | EUR (€) | AUD ($) |
|---------|--------|--------|--------|--------|--------|
| USD ($) | 1.00 | 0.65 | 1.28 | 0.87 | 1.35 |
| GBP (£) | 1.54 | 1.00 | 1.97 | 1.34 | 2.08 |
| CAD ($) | 0.78 | 0.51 | 1.00 | 0.67 | 1.04 |
| EUR (€) | 1.15 | 0.75 | 1.49 | 1.00 | 1.55 |
| AUD ($) | 0.74 | 0.48 | 0.96 | 0.65 | 1.00 |
> Note: The table shows how much of one currency you get for 1 unit of another. For example, 1 USD = 1.35 AUD.
---
Problem 1:
Charlotte earned $100 for walking dogs. She wants to buy a toy that costs $120 AUD. After her purchase, how much money will she have left in British pounds?
#### Step 1: Convert Charlotte’s $100 USD to AUD
From the table:
1 USD = 1.35 AUD
So, $100 USD = 100 × 1.35 = 135 AUD
#### Step 2: Subtract cost of toy
Toy costs 120 AUD
Remaining = 135 - 120 = 15 AUD
#### Step 3: Convert remaining 15 AUD to GBP
We need to convert AUD → GBP
From the table: 1 AUD = 0.48 GBP
So, 15 AUD = 15 × 0.48 = 7.20 GBP
✔ Answer: 7.20 GBP
---
Problem 2:
Jack lives in Ottawa, Canada. His uncle lives in London, England. For his birthday, Jack received £25 from his uncle. How many Canadian dollars can he buy with his birthday money?
We are converting GBP → CAD
From the table:
1 GBP = 1.97 CAD
So, £25 = 25 × 1.97 = 49.25 CAD
✔ Answer: 49.25 CAD
---
Problem 3:
Olivia lives in Sydney, Australia. Her grandmother lives in Paris, France. For Christmas, Olivia sent €60 to her grandmother. How many Australian dollars can she buy with her Christmas money?
We are converting EUR → AUD
From the table:
1 EUR = 1.55 AUD
So, €60 = 60 × 1.55 = 93 AUD
✔ Answer: 93 AUD
---
Problem 4:
William has $11 USD. The video game he wants to buy costs $10 CAD. Does he have enough money to buy the game? If not, how much more US dollars does he need?
Step 1: Convert William’s $11 USD to CAD
1 USD = 1.28 CAD
So, $11 = 11 × 1.28 = 14.08 CAD
The game costs $10 CAD → He has more than enough.
✔ Answer: Yes, he has enough money.
(No additional money needed.)
---
Problem 5:
Sophie paid €35. She wants to purchase jeans for $25 CAD and a tee shirt for $15 CAD. After her purchases, how many euros will she have left? (Round to the nearest euro)
Step 1: Total cost of items in CAD
Jeans: $25 CAD
Tee shirt: $15 CAD
Total = 25 + 15 = $40 CAD
Step 2: Convert $40 CAD to EUR
From table: 1 CAD = 0.67 EUR
So, $40 CAD = 40 × 0.67 = 26.80 EUR
Step 3: Sophie had €35
Leftover = 35 - 26.80 = 8.20 EUR
Rounded to nearest euro = 8 EUR
✔ Answer: 8 EUR
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Bonus Question:
Which currency in the table has the highest valued currency unit?
We compare how much each currency is worth in USD, since USD is the base.
- 1 USD = 1.00 USD → value = 1.00
- 1 GBP = 1.54 USD → value = 1.54
- 1 CAD = 0.78 USD → value = 0.78
- 1 EUR = 1.15 USD → value = 1.15
- 1 AUD = 0.74 USD → value = 0.74
The highest value per unit is GBP at 1.54 USD.
✔ Answer: British Pound (GBP)
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✔ Final Answers:
1. 7.20 GBP
2. 49.25 CAD
3. 93 AUD
4. Yes, he has enough money.
5. 8 EUR
Bonus: British Pound (GBP)
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of exchange rates worksheet.