Final answer:
To find the capacity of Omar's gas tank, set up an equation using the given information and solve for x. Multiply 12 by the reciprocal of 2/3 to find the capacity of the tank.
Step-by-step explanation:
To find out how many gallons Omar's gas tank can hold, we need to determine the capacity of the tank based on the given information. Let's start by setting up an equation.
Let x be the number of gallons Omar's tank can hold.
We know that when Omar buys 12 gallons of gas, his tank becomes 2/3 full. This means 2/3 of the tank's capacity is equal to 12 gallons.
So we can write the equation: (2/3) * x = 12.
To solve for x, we can multiply both sides of the equation by the reciprocal of 2/3, which is 3/2. This gives us: x = (12) * (3/2) = 18 gallons.
Therefore, Omar's gas tank can hold 18 gallons.