gas tank is 1/6 full. after pumping 9 gallons gas it is 5/6 full. how much gas does tank hold? How many gallons were first in the tank?
9 gallons filled 4/6 or 2/3
12 gallons = filled
had 2 gallons
sam's gas tank is 1/4 full. He fills the tank by adding 18 what is the capacity of the car?
To find out how much gas the tank holds and how many gallons were initially in the tank, you can use a simple algebraic equation.
Let's denote the total capacity of the gas tank as "x" gallons.
According to the given information:
Initially, the gas tank is 1/6 full, so it contains (1/6)x gallons.
After pumping 9 gallons, the tank becomes 5/6 full, so it contains (5/6)x gallons.
Now, we can set up the equation:
(1/6)x + 9 = (5/6)x
To solve for x, we can simplify and then isolate the variable:
Multiply both sides of the equation by 6 to eliminate the fractions:
x + 54 = 5x
Subtract x from both sides:
54 = 4x
Divide both sides by 4:
x = 54/4
x = 13.5
So, the gas tank holds 13.5 gallons in total.
To find how many gallons were initially in the tank, we substitute the value of x back into the first equation:
(1/6)(13.5) + 9 = (5/6)(13.5)
2.25 + 9 = 11.25
Therefore, there were initially 11.25 gallons in the tank.