Answer:
300 liters
Explanation:
The capacity of the tank is unknown, so we call it x.
The tank starts 4/5 full, so the amount of water in the tank is 4/5 x.
190 liters of water are drawn from the tank, so now the tank has
4/5 x - 190 liters of water left.
We are told that the amount of water left is 1/6 of the capacity of the tank, so the tank now has 1/6 x of water.
4/5 x - 190 = 1/6 x
We now solve the equation for x, the capacity of the tank.
We need a common denominator for 5 and 6. We can use the LCD of 5 and 6 which is 30.
Multiply both sides of the equation by the LCD to eliminate the fractions.
30(4/5 x) - 30 * 190 = 30 * 1/6 x
30/5 * 4x - 5700 = 5x
6 * 4x - 5700 = 5x
24x - 5700 = 5x
Subtract 5x from both sides. Add 5700 to both sides.
19x = 5700
Divide both sides by 19.
x = 300
Answer: 300 liters