FOREIGN CURRENCY CONVERSIONS
U.S. Dollar to British Pound =1.56 to 1
British Pound to Euro=1 to 1.38
Foreign currency conversion rates for the British pound. U.S. dollar, and Euro are listed above. What would be the cost in U.S. dollars for a shirt that has a purchase price of 46 Euros, correct to the nearest dollars?

Answer

To find the cost in U.S. dollars for a shirt priced at 46 Euros, we will follow these steps:

### Step 1: Convert Euros to British Pounds
We know from the problem that 1 British Pound (GBP) is equal to 1.38 Euros (EUR). To find out how many British Pounds are equivalent to 1 Euro, we can use the relationship:

\[ 1 \text{ Euro} = \frac{1}{1.38} \text{ British Pounds} \]

Calculating this gives:

\[ 1 \text{ Euro} \approx 0.724 \text{ British Pounds} \]

### Step 2: Convert British Pounds to U.S. Dollars
Next, we know that 1 British Pound is equal to 1.56 U.S. Dollars (USD). Therefore, we can express the conversion from British Pounds to U.S. Dollars as:

\[ 1 \text{ British Pound} = 1.56 \text{ U.S. Dollars} \]

### Step 3: Calculate the value of 1 Euro in U.S. Dollars
Using the conversion from Step 1 and Step 2, we can find the value of 1 Euro in U.S. Dollars:

\[ 1 \text{ Euro} = 0.724 \text{ British Pounds} \times 1.56 \text{ U.S. Dollars} \]

Calculating this gives:

\[ 1 \text{ Euro} \approx 1.129 \text{ U.S. Dollars} \]

### Step 4: Calculate the cost of the shirt in U.S. Dollars
Now that we know the value of 1 Euro in U.S. Dollars, we can find the cost of the shirt, which is priced at 46 Euros:

\[ \text{Cost of shirt in U.S. Dollars} = 46 \text{ Euros} \times 1.129 \text{ U.S. Dollars} \]

Calculating this gives:

\[ \text{Cost of shirt} \approx 51.914 \text{ U.S. Dollars} \]

### Step 5: Round to the nearest dollar
Finally, we round the cost to the nearest dollar:

\[ \text{Cost of shirt} \approx 52 \text{ U.S. Dollars} \]

Thus, the cost in U.S. dollars for the shirt priced at 46 Euros is **52 U.S. Dollars**.

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