Question

1. A tank is 3/5 full of water. After 330 litres of water is drawn out, it becomes 2/7 full. Find the capacity of the tank in litres.​

Answer 1

1050

Explanation:

Let x = full capacity

`(3)/(5) x=(2)/(7) x+330`

Move the variable to the left side by subtracting both sides by
`(2)/(7) x`

`(3)/(5) x-(2)/(7)x=(2)/(7) x+330 -(2)/(7)x`

`(3)/(5) x-(2)/(7) x=330`

Combine the like terms (don't forget about common denominator)

`(21)/(35) x-(10)/(35) x=330`

`(11)/(35) x=330`

Multiply both sides by
`(35)/(11)` to isolate the x

`((35)/(11))(11)/(35) x=330((35)/(11))`

`x = 1050`