If the gas in England costs £2.99/L, what is the cost in S/gal? (assume £1,00 $1.50)
The correct answer and explanation is :
To convert the cost of gas from £2.99 per liter to $ per gallon (S/gal), we need to perform two conversions:
Step-by-Step Conversion:
- Currency Conversion:
Given:
£1.00 = $1.50
Therefore,
£2.99 = 2.99 × 1.50 = $4.485 per liter - Volume Conversion:
1 gallon (U.S.) = 3.785 liters
So, to find the cost per gallon:
$4.485/liter × 3.785 liters/gallon = $16.97 per gallon
✅ Correct Answer: $16.97 per gallon
📚 300-Word Explanation:
Converting fuel prices from one country to another involves both a currency and a volume unit conversion. This is especially relevant for travelers or businesses comparing fuel costs internationally. In this case, we are given the price of gas in the UK as £2.99 per liter, and we want to determine the equivalent cost in U.S. dollars per gallon.
Step 1: Currency Conversion
The first step is converting the British pound to U.S. dollars. The exchange rate is provided as £1 = $1.50. To convert £2.99 to dollars, multiply:
[
2.99 \times 1.50 = 4.485
]
This means gas costs $4.485 per liter in U.S. dollars.
Step 2: Volume Conversion
Next, we need to convert liters to gallons because the target unit is dollars per gallon. There are approximately 3.785 liters in one U.S. gallon. Thus, to find the total cost per gallon:
[
4.485 \times 3.785 \approx 16.97
]
Therefore, the final cost is approximately $16.97 per gallon.
This result shows how fuel can be significantly more expensive in some countries, partly due to currency value, unit differences, and fuel taxes. In this case, a U.S. driver paying around $3 to $5 per gallon would find the UK price shockingly high. Understanding these conversions helps in budgeting for international travel or conducting global economic comparisons.