Question

Your Durango's gas tank holds 25 gallons. The last time you put in fuel, the gauge read empty, but it took only 22.5 gallons to fill it. What portion of the gas in the tank remains when the gauge reads empty?

Short answer

Answer: 1/10 or 10% of the gas remains in the tank when the gauge reads empty.

Step-by-step solution

Determine the amount of gas needed to fill the tank

We are given that when the gauge reads empty, it took 22.5 gallons to fill the tank.

Calculate the amount of gas remaining in the tank

To find the amount of gas remaining when the gauge reads empty, subtract the amount of gas needed to fill the tank from the total capacity: Remaining gas = Total capacity - Amount of gas needed to fill the tank Remaining_gas = 25 gallons - 22.5 gallons Remaining_gas = 2.5 gallons So, there are 2.5 gallons of gas remaining in the tank when the gauge reads empty.

Calculate the portion of the gas remaining in the tank

To find the portion of the gas remaining in the tank when the gauge reads empty, divide the remaining gas by the total capacity of the tank: Portion of gas remaining = Remaining gas / Total capacity Portion_of_gas_remaining = 2.5 gallons / 25 gallons Portion_of_gas_remaining = 0.1 In fraction form, this can be written as: Portion_of_gas_remaining = 1/10 So, 1/10 or 10% of the gas remains in the tank when the gauge reads empty.