Victoria has 2 containers. Container L and Container M are of different capacities. If Container L is filled by a tap at a rate of 4 litres per minute and Container M is filled by a tap at a rate of 7 litres per minute, when Container L is completely filled, 8 litres of water flowed out from Container M. If Container L is filled by a tap at a rate of 6 litres per minute and Container M is filled by a tap at a rate of 4 litres per minute, when Container L is completely filled, Container M is only half-filled. What is the capacity of Container M? Express your answer in litres.

	Scenario 1		Scenario 2
Container type	Container L	Container M	Container L	Container M
Volume of the container	4 u	7 u - 8	6 p	4 p x 2 = 8 p

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

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

Make u the same.

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

(2) x 4
28 u = 32 p + 32 --- (4)

(3) = (4)
42 p = 32 p + 32
42 p - 32 p = 32
10 p = 32
1 p = 32 ÷ 10 = 3.2

Volume of Container M
= 8 p
= 8 x 3.2
= 25.6 ℓ

Answer(s): 25.6 ℓ