If gasoline sells for 95.4 cents per liter, what is its cost on a per gallon basis?
$1 L=1.06 qt$
$404.50
$3.60
$4.04
$3.82
$36.00
Answer (1)
Convert liters to quarts: 1 L = 1.06 qt .
Convert quarts to gallons: 1 gallon = 4 quarts .
Calculate liters per gallon: 4 × 1.06 = 4.24 liters/gallon .
Calculate cost per gallon: $95.4 \text{ cents/liter} \times 4.24 \text{ liters/gallon} = 404.496 \text{ cents/gallon} = 4.04496 dollars/gallon . - The cost per gallon is $\boxed{ 4.04} .
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 per gallon. First, we need to determine how many quarts are in a gallon. We know that 1 gallon = 4 quarts.
Converting Quarts to Liters Now, we need to find the number of liters in a gallon. Since 1 liter = 1.06 quarts, we can find the number of liters in 4 quarts (1 gallon). To do this, we multiply 1.06 quarts/liter by the number of liters, so to find the number of liters in 4 quarts, we divide 4 quarts by 1.06 quarts/liter: 1.06 quarts/liter 4 quarts = 1.06 4 liters ≈ 3.7736 liters So, 1 gallon is approximately 3.7736 liters.
Calculating Cost per Gallon in Cents Next, we need to find the cost per gallon in cents. We know the cost per liter is 95.4 cents. So, we multiply the cost per liter by the number of liters in a gallon: 95.4 cents/liter × 4.24 liters/gallon = 404.496 cents/gallon Note that since 1 liter = 1.06 quarts, then 4 quarts = 4 e wl in e 1.06 = 4.24 liters.
Converting Cents to Dollars Finally, we convert the cost from cents to dollars by dividing by 100: 100 cents/dollar 404.496 cents/gallon = 4.04496 dollars/gallon Rounding to the nearest cent, the cost is approximately $4.04 per gallon.
Final Answer Therefore, the cost of gasoline on a per gallon basis is approximately $4.04.
Examples
Understanding the price per gallon of gasoline helps consumers make informed decisions about transportation costs. For instance, if you're planning a road trip, knowing the price per gallon allows you to estimate your fuel expenses accurately. This calculation is also useful for comparing the cost-effectiveness of different vehicles or transportation methods, ensuring you stay within your budget and make economically sound choices.
