Question

The gas tank of your car is 30% full, and there are 9 gallons of gas in the tank. What is the capacity of the gas tank?

A. 27 gallons
B. 30 gallons
C. 90 gallons
D. 300 gallons

Answer 1

The full capacity of the gas tank is calculated by dividing 9 gallons by 0.30, since 9 gallons represents 30% of the full tank. Hence, the capacity is 30 gallons, which is option B.

Step-by-step explanation:

To determine the capacity of the car's gas tank, we can set up a proportion based on the information that 30% of the tank is filled with 9 gallons of gas. First, we express 30% as a decimal which is 0.30. Then, we can calculate the full capacity of the tank (100%) using a simple equation:

0.30 (Capacity of tank) = 9 gallons

To find the capacity of the tank, we divide both sides by 0.30:

Capacity of tank = 9 gallons / 0.30

Capacity of tank = 30 gallons

Therefore, the full capacity of the gas tank is 30 gallons, which corresponds to option B. 30 gallons.