The gas tank on a car has a capacity of 75 liters. On a full tank of gas, the car travels 325 miles. What is the gas mileage in miles per gallon? Can anyone show me the steps to figure this problem out?
The Correct Answer and Explanation is:
To figure out the gas mileage in miles per gallon (MPG), follow these steps:
Step 1: Convert liters to gallons
We know that the capacity of the gas tank is 75 liters. To work in miles per gallon, we need to convert liters to gallons, since the problem asks for the mileage in miles per gallon.
1 gallon = 3.78541 liters
To convert 75 liters to gallons:75 liters×1 gallon3.78541 liters=19.8 gallons (rounded to one decimal place)75 \, \text{liters} \times \frac{1 \, \text{gallon}}{3.78541 \, \text{liters}} = 19.8 \, \text{gallons} \, (\text{rounded to one decimal place})75liters×3.78541liters1gallon=19.8gallons(rounded to one decimal place)
Step 2: Calculate the miles per gallon
Now, we know the car can travel 325 miles on a full tank of 75 liters, or about 19.8 gallons. To find the miles per gallon, we divide the total miles traveled by the number of gallons.Miles per gallon=325 miles19.8 gallons=16.4 miles per gallon\text{Miles per gallon} = \frac{325 \, \text{miles}}{19.8 \, \text{gallons}} = 16.4 \, \text{miles per gallon}Miles per gallon=19.8gallons325miles=16.4miles per gallon
Final Answer
The car’s gas mileage is approximately 16.4 miles per gallon.
Explanation:
To solve this problem, the key is to first convert the tank’s capacity from liters to gallons, because miles per gallon is the required unit. Then, by dividing the total miles traveled by the number of gallons of gas used, we get the car’s fuel efficiency. This is a simple application of unit conversion followed by division to calculate the desired rate.
