Xuan purchased a bottle of pomegranate syrup to make drinks. She used ²₅ of the syrup in March. She then used the remaining syrup in April and May in the ratio 2 : 3. Given that the amount of the pomegranate syrup used in March was 0.24 ℓ more than that in April, how many millilitres of pomegranate syrup did the bottle contain at first?

March	April	May	Total
2x5	3x5		5x5
	2x3	3x3
10 u	6 u	9 u	25 u

Total volume of April and May is combined repeated identity.  Make the total volume of April and May the same.  LCM of 3 and 5 is 15.

Volume of more pomegranate syrup in the bottle used in March than April
= 10 u - 6 u
= 4 u

4 u = 0.24 

1 u = 0.24 ÷ 4 = 0.06

Amount of pomegranate syrup in the bottle at first
= 25 u
= 25 x 0.06
= 1.5 ℓ

1 ℓ = 1000 mℓ

Amount of pomegranate syrup in the bottle at first
= 1.5 x 1000
= 1500 mℓ

Answer(s): 1500 mℓ