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If the exchange rate is 1 U.S. dollar to 81 Japanese yen, how many yen would you spend to purchase something that costs 50 dollars?4,050 yen81 yen810 yen50 yen

Question

If the exchange rate is 1 U.S. dollar to 81 Japanese yen, how many yen would you spend to purchase something that costs 50 dollars?

  • 4,050 yen
  • 81 yen
  • 810 yen
  • 50 yen
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Solution

Break Down the Problem

  1. Identify the cost of the item in U.S. dollars: 50 dollars.
  2. Identify the exchange rate: 1 U.S. dollar = 81 Japanese yen.
  3. Calculate the total cost in Japanese yen.

Relevant Concepts

To convert U.S. dollars to Japanese yen, we can use the formula: Total Cost in Yen=Cost in Dollars×Exchange Rate \text{Total Cost in Yen} = \text{Cost in Dollars} \times \text{Exchange Rate}

Analysis and Detail

  1. Substitute the values into the formula: Total Cost in Yen=50dollars×81yen/dollar \text{Total Cost in Yen} = 50 \, \text{dollars} \times 81 \, \text{yen/dollar}

  2. Perform the multiplication: 50×81=4050yen 50 \times 81 = 4050 \, \text{yen}

Verify and Summarize

We calculated the total cost in yen as 4050 yen. The conversion was straightforward using the given exchange rate, and the calculations were verified to be correct.

Final Answer

You would spend 4,050 yen to purchase something that costs 50 dollars.

This problem has been solved

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