A car travels 180 miles on 12 gallons of gas. At that rate, how much gas will it need to travel 300 miles?

Question

 A car travels 180 miles on 12 gallons of gas. At that rate, how much gas will it need to travel 300 miles?

Answer 1

Hello Jeff. In order to solve this problem, we must set up equivalent ratios. We should first:

let x represent the number of gallons the car will need to travel 300 miles

Then we can set up our equivalent ratios:

180 miles/12 gallons = 300 miles/x gallons

Cross multiplying (numerator 1 x denominator 2 = numerator 2 x denominator 1) or rearranging the equation renders:

180x = 3600

You can now solve for x, the number of gallons the car will need to travel 300 miles. If you have any questions, or want to schedule a lesson with me, please do not hesitate to contact me through Wyzant.