Question

A car averages 27 miles per gallon if the cost of the gas is 4.04 dollars per gallon, how much would it cost for this car to travel 2727 typical miles?

Answer 1

Hint: Now we are given that the average gas consumption of car is 27 miles per gallon. Hence first we will find the gas required to travel 2727 miles. Now the cost of 1 gallon of gas is 4.04. Hence we will calculate the amount for required gas for the trip by amount = amount of gas in gallons × 4.04.

Complete step-by-step answer:
Now we are given that the car averages 27 miles per gallon.
Averages means the average distance covered by the vehicle per gallon.
Now this means that in 1 gallon of gas the car travels 27 miles.
Now find the amount of gas required to travel 2727 miles.
Bu unitary method if in 1 gallon of gas, the car can travel 27 miles
Then 2727 miles will require $\dfrac{2727}{27}=101$ gallons
Hence to travel the total distance of 2727 miles the car will require 101 gallons.
Now we know the price of 1 gallon is 4.04 dollars.
Hence we can say that the price of 101 gallons is 101 × 4.04 dollars.
Hence the price of 101 gallons is 408.04 dollars.
Hence to travel 2727 miles the cost will be 408.04 dollars.

Note: Now note that while using the unitary method note that all the units used in the expression are the same. Hence the gas is in gallons and the distance is in miles. Also note that the ratio of the gas and distance is constant. Hence if gas used for 2727 km is x then we have $\dfrac{1}{27}=\dfrac{x}{2727}$ .