If gasoline sells for 95.4 cents per liter, what is its cost on a per gallon basis?
$1 L=1.06 qt$
A. $404.50
B. $3.60
C. $4.04
D. $3.82
E. $36.00
Answer (1)
Determine the number of liters in a gallon: 1.06 4 ≈ 3.7736 liters.
Multiply the cost per liter by the number of liters per gallon: 0.954 × 3.7736 ≈ 3.60 .
The cost of gasoline on a per gallon basis is approximately 3.60. − F ina l A n s w er : \boxed{ 3.60}
Explanation
Understanding the Problem We are given that gasoline sells for 95.4 cents per liter and that 1 liter is equal to 1.06 quarts. We need to find the cost of gasoline per gallon.
Converting to Liters First, we need to determine how many liters are in a gallon. We know that 1 gallon is equal to 4 quarts, and 1 liter is equal to 1.06 quarts. Therefore, we can find the number of liters in a gallon by dividing the number of quarts in a gallon by the number of quarts in a liter: 1.06 quarts/liter 4 quarts = 1.06 4 liters ≈ 3.7736 liters .
Calculating Cost per Gallon Now that we know there are approximately 3.7736 liters in a gallon, we can find the cost per gallon by multiplying the cost per liter by the number of liters per gallon: 0.954 dollars/liter × 3.7736 liters/gallon = 3.5999 dollars/gallon .
Final Answer Therefore, the cost of gasoline on a per gallon basis is approximately $3.60.
Examples
Understanding unit conversions like liters to gallons is essential in everyday life. For instance, when traveling abroad, you might need to convert fuel prices from liters to gallons to compare costs with your home country. This calculation helps you make informed decisions about refueling your vehicle, ensuring you get the best value for your money while on the road. Knowing these conversions can save you from overpaying and helps in budgeting your travel expenses effectively.
