Suppose 5 US Dollars is exchanged for 3 British Pounds. If your dinner bill is 66 British Pound. How much in Dollars do you have to pay.
The Correct Answer and Explanation is:
To solve this problem, we first need to determine the exchange rate between US Dollars and British Pounds based on the given information:
Given:
5 US Dollars = 3 British Pounds
We can express this as an exchange rate:
1 British Pound = 53\frac{5}{3}35 US Dollars ≈ 1.6667 US Dollars
Now, if your dinner bill is 66 British Pounds, we convert that amount into US Dollars using the exchange rate:66 Pounds×53 Dollars per Pound=110 US Dollars66 \text{ Pounds} \times \frac{5}{3} \text{ Dollars per Pound} = 110 \text{ US Dollars}66 Pounds×35 Dollars per Pound=110 US Dollars
Final Answer: 110 US Dollars
Explanation
In this currency conversion problem, the key step is identifying and applying the correct exchange rate. You are told that 5 US Dollars can be exchanged for 3 British Pounds. This means that for every 3 Pounds, you would need to pay 5 Dollars. To determine how much one British Pound costs in Dollars, divide 5 by 3. This gives you approximately 1.6667. This value represents how many US Dollars are equivalent to one British Pound.
The goal is to convert 66 British Pounds into US Dollars. To do this, multiply the number of Pounds (66) by the Dollar equivalent of one Pound (1.6667). Mathematically, this is done by multiplying 66 by 5 and then dividing by 3. That gives:66×53=3303=110\frac{66 \times 5}{3} = \frac{330}{3} = 110366×5=3330=110
This means you will need 110 US Dollars to pay a bill of 66 British Pounds. Currency exchange calculations often involve multiplication or division depending on the direction of the conversion. When converting from a foreign currency to your own, multiply the foreign amount by the exchange rate. When converting from your own currency to a foreign one, divide the amount by the exchange rate. Always ensure that the units cancel out properly during the calculation to avoid errors. Accurate conversions are essential for travelers, international business, and financial transactions.
