Isabella has 2 containers. Container S and Container T are of different capacities. If Container S is filled by a tap at a rate of 3 litres per minute and Container T is filled by a tap at a rate of 7 litres per minute, when Container S is completely filled, 8 litres of water flowed out from Container T. If Container S is filled by a tap at a rate of 6 litres per minute and Container T is filled by a tap at a rate of 3 litres per minute, when Container S is completely filled, Container T is only half-filled. What is the capacity of Container T? Express your answer in litres.

	Scenario 1		Scenario 2
Container type	Container S	Container T	Container S	Container T
Volume of the container	3 u	7 u - 8	6 p	3 p x 2 = 6 p

Let 1 u be the time taken for Scenario 1.
Let 1 p be the time taken for Scenario 2.

3 u = 6 p --- (1)
7 u - 8 = 6 p
7 u = 6 p + 8 --- (2)

Make u the same.

(1) x 7
21 u = 42 p --- (3)

(2) x 3
21 u = 18 p + 24 --- (4)

(3) = (4)
42 p = 18 p + 24
42 p - 18 p = 24
24 p = 24
1 p = 24 ÷ 24 = 1

Volume of Container T
= 6 p
= 6 x 1
= 6 ℓ

Answer(s): 6 ℓ