A tank is 4÷5 full of water. after drawing off 190 litres of water, it is just 1÷6 full. what is the capacity of the tank

Step-by-step explanation:

A tank is 4/5 full of water.After drawing off 190 litres of water it is just 1/6 full.What is the capacity of the tank? Mathematics Answer Comment 1 Semmy [17] 1 year ago 5 0 Let's convert the fractions to the same denominator this means that when 190 liters, or 19/30 of the water was drawn off, there was 1/6 left. let's create an equation and solve for x. we know that 190 is equal to 19/30 of the the tank. what about 1/30? we nee to divide each side by 19 to find out. 190/10 would be 19. this means that 1/30 of the tank is 19 liters. to find the full tank, or 30/30 of the tank, multiply 19 by by 30, to get 570. the full capacity of the tank is 570 liters hope this helped! p.s. can i have brainliest?

300 liters

Step-by-step 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

300 liters

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