A right cylindrical exactly 1/4 full. 7 liters are added, the vessel is exactly 3/5 full. Total capacity?

Question

I know that solving for V you get to this point... 7=V(3/5-1/4) where I get stuck at is this translates into V*7/20... where does the 7/20 come from?

Answer 1

This means that 7L=(3/5-1/4)V=(12/20-5/20)V=7/20 V

so v=20/7*7=20L ANSWER

Answer 2

V = total capacity

V0 = (1/4)V

V1 = V0 + 7L = (3/5)V

V1 = (1/4)V + 7L = (3/5)V

Solve for V:

(1/4)V + 7L = (3/5)V

7L = (3/5)V - (1/4)V

7L = (12/20)V - (5/20)V

7L = (7/20)V

(7L)(20/7) = V

20L = V

Total capacity is 20 liters.

Answer 3

Let capacity = V litres

V/4 + 7 = (3/5) V

5V + 140 = 12 V

140 = 7V

V = 20 litres

Answer 4

3/5-1/4=7/20,

7/(7/20)=20

7 liters is 7/20 of total capacity

Answer 5

1/4x + 7 = 3/5x

7 = 3/5x - 1/4x

7 = 12/20x - 5/20x

7 = 7/20x

x =20