If 1 USD =120 Japanese yen and 1 USD =0.85 euro find the exchange rate between the euros and the Japanese yen

To find the exchange rate between euros and Japanese yen, you need to first express both currencies in terms of USD and then relate them. 

Given:
- \( 1 \text{ USD} = 120 \text{ JPY (Japanese yen)} \)
- \( 1 \text{ USD} = 0.85 \text{ EUR (euro)} \)

Now, to find how many yen 1 euro is worth, we perform the following steps:

### Step-by-Step Solution:

1. **Convert 1 EUR to USD**: Since \( 1 \text{ USD} = 0.85 \text{ EUR} \), then
   \[
   1 \text{ EUR} = \frac{1}{0.85} \text{ USD} \approx 1.1765 \text{ USD}
   \]

2. **Convert USD to yen**: Since \( 1 \text{ USD} = 120 \text{ JPY} \), multiply the result by 120:
   \[
   1 \text{ EUR} \approx 1.1765 \text{ USD} \times 120 \text{ JPY/USD} = 141.18 \text{ JPY}
   \]

Thus, the exchange rate between euros and Japanese yen is approximately:

\[
1 \text{ EUR} = 141.18 \text{ JPY}
\]

Would you like more details or have any questions?

### Related questions:
1. How do you convert between other currencies using exchange rates?
2. How does currency fluctuation affect exchange rates?
3. What factors influence exchange rates between currencies?
4. How do you calculate profit or loss when exchanging money between currencies?
5. Can exchange rates be different between cash and electronic transfers?

**Tip:** Always check for live exchange rates when converting money, as they frequently fluctuate.

If 1 USD = 120 Japanese yen and 1 USD = 0.85 euro, find the exchange rate between the euros and the Japanese yen.

Learn how to calculate the exchange rate between euros and Japanese yen using given conversion rates: 1 USD = 120 JPY and 1 USD = 0.85 EUR. Follow the step-by-step guide to solve this real-world math problem, suitable for Grades 8-10.

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