Question

Ian​'s car can go 105 miles on 3 gallons of gas. During a drive last​ weekend, Ian used 4 gallons of gas. How far did Ian ​ drive? Use pencil and paper. Explain how the problem changes if you were given the distance Ian drove last weekend instead of how much gas he used.

Answer 1

Ian would have used approximately 5.71 gallons of gas to drive 200 miles.

Explanation:

First, let's calculate the car's mileage by dividing the distance it can go on 3 gallons of gas by 3: 105 miles / 3 gallons = 35 miles/gallon

This means that Ian's car can travel 35 miles on 1 gallon of gas. Next, we need to find out how far Ian drove using 4 gallons of gas.To do this, we multiply the car's mileage by the number of gallons used:

35 miles/gallon x 4 gallons = 140 miles

Therefore, Ian drove 140 miles last weekend.

If we were given the distance Ian drove last weekend instead of how much gas he used, the problem would change. In this case, we would need to find out how many gallons of gas Ian used. To do this, we would divide the distance Ian drove by the car's mileage Distance / Mileage = Gallons

For example, if Ian drove 200 miles and the car's mileage is 35 miles/gallon:

200 miles / 35 miles/gallon ≈ 5.71 gallons

Therefore, Ian would have used approximately 5.71 gallons of gas to drive 200 miles.