If US$1 = Yen145.59 (USD/JPY) and US$1 = Mexican Peso 22.54 (USD/MXN), how many Yen would be equivalent to 1 Mexican Peso (MXN/JPY)?

Question

BlackTom AI · Accepted Answer

To get yen per peso, convert 1 MXN into USD and then convert that USD amount into JPY.

1. Relevant knowledge points and concepts
- Exchange rates are ratios describing how much of one currency equals one unit of another. USD/JPY = 145.59 means 1 USD = 145.59 JPY. USD/MXN = 22.54 means 1 USD = 22.54 MXN.
- To find JPY per MXN (MXN/JPY meaning how many yen equal one peso), use cross rates: JPY per MXN = (JPY per USD) / (MXN per USD).

2. Complete reasoning process step by step
- Start with 1 MXN. Express it in USD: 1 MXN = (1 / 22.54) USD because 22.54 MXN = 1 USD.
- Convert that USD amount to JPY by multiplying by 145.59 JPY per USD.

3. Calculations with intermediate steps
- 1 MXN = 1 / 22.54 USD ≈ 0.04438 USD.
- Convert to JPY: 0.04438 USD × 145.59 JPY/USD = 145.59 / 22.54 JPY.
- Compute quotient: 145.59 ÷ 22.54 ≈ 6.4596.
- Rounding to two decimal places gives 6.46 JPY per MXN.

4. Why the correct answer is correct
- The algebraic cross-rate method yields JPY/MXN = (JPY/USD) ÷ (MXN/USD) = 145.59 ÷ 22.54 ≈ 6.46. This directly answers “how many yen equal 1 Mexican peso.”

5. Why the other choices are incorrect
- 0.15 is approximately the reciprocal (about 1/6.46 ≈ 0.155), which would represent MXN per JPY (pesos per yen), not yen per peso.
- 3,281.6 is the product 145.59 × 22.54, which mixes units improperly (it would be JPY·MXN per USD^2) and is not a meaningful exchange rate for JPY per MXN.
- “None of the other answers” is wrong because one of the provided options (6.46) is correct.

6. Conclusion
- The computed cross rate is approximately 6.46 JPY per MXN, which matches the provided correct answer: 6.46.

If US$1 = Yen145.59 (USD/JPY) and US$1 = Mexican Peso 22.54 (USD/MXN), how many Yen would be equivalent to 1 Mexican Peso (MXN/JPY)? 单项选择题

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