Questions: The value of a yen in Japan in November 2013 was given by the equation 1=99.925 yen. a. What was the value of 120 ? b. Pauli saw a shirt marked 3200 yen in November 2013. What was the price in U.S. dollars? a. The value of 120 was yen. (Type an integer or a decimal.) b. The price of the shirt was approximately (Round to the nearest cent as needed.)

The value of a yen in Japan in November 2013 was given by the equation 1=99.925 yen. a. What was the value of 120 ? b. Pauli saw a shirt marked 3200 yen in November 2013. What was the price in U.S. dollars? a. The value of 120 was yen. (Type an integer or a decimal.) b. The price of the shirt was approximately (Round to the nearest cent as needed.)
Transcript text: The value of a yen in Japan in November 2013 was given by the equation $\$ 1=99.925$ yen. a. What was the value of $\$ 120$ ? b. Pauli saw a shirt marked 3200 yen in November 2013 . What was the price in U.S. dollars? a. The value of $\$ 120$ was $\square$ yen. (Type an integer or a decimal.) b. The price of the shirt was approximately $\$$ $\square$ (Round to the nearest cent as needed.)
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Solution

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Solution Steps

Step 1: Convert USD to Yen

Given the exchange rate \( \$1 = 99.925 \) yen, we need to find the value of \( \$120 \) in yen.

\[ \text{Value in yen} = 120 \times 99.925 = 11991.0 \text{ yen} \]

Step 2: Convert Yen to USD

Given the price of the shirt is 3200 yen, we need to find the equivalent price in USD.

\[ \text{Value in USD} = \frac{3200}{99.925} \approx 32.0240 \]

Final Answer

The value of \( \$120 \) was \( \boxed{11991.0} \) yen.

The price of the shirt was approximately \( \boxed{\$32.02} \).

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