A car averages 18 miles per gallon of gas for city driving and 27 miles per gallon of gas for highway driving. What is the total number of gallons of gas needed to drive 6x miles in the city and 18x miles on the highway?

Explanation

For city driving, the car covers 6x miles with an average of 18 miles per gallon of gas. Therefore, the number of gallons of gas used for city driving is: Gallons for city driving = (6x miles) / (18 miles/gallon) = (1/3) x gallons For highway driving, the car covers 18x miles with an average of 27 miles per gallon of gas. Therefore, the number of gallons of gas used for highway driving is: Gallons for highway driving = (18x miles) / (27 miles/gallon) = (2/3) x gallons Therefore, the total number of gallons of gas needed is: Total gallons = gallons for city driving + gallons for highway driving Total gallons = (1/3) x gallons + (2/3) x gallons Total gallons = (1+2)/3 x gallons Total gallons = 1 x gallons = x So the answer is (A) x.