Ann's car can go 114 miles on 4 gallons of gas. During a drive last weekend, Ann used 5 gallons of gas. How far did she drive? Use pencil and paper to write out your work. Explain how the problem changes if you were given the distance Ann drove last weekend instead of how much gas she used

Ann travelled 142.5 miles on 5 gallons of gas

Step-by-step explanation:

Ann's car can go 114 miles on 4 gallons of gas. During a drive last weekend, Ann used 5 gallons of gas. How far did she drive?

Hence:

4 gallons of gas = 114 miles

5 gallons of gas = x miles

Cross Multiply

4 × x = 5 × 114

x = 5 × 114/4

x = 142.5 miles

Explain how the problem changes if you were given the distance Ann drove last weekend instead of how much gas she used

If I was given the distance Ann drove instead of the gas she used, it would follow the same method I used where x, which is the unknown variable would represent the amount of gallons that she used which we would be solving for.