Penelope purchased a bottle of dragonfruit syrup to make drinks. She used ³₅ of the syrup in January. She then used the remaining syrup in February and March in the ratio 2 : 3. Given that the amount of the dragonfruit syrup used in January was 0.55 ℓ more than that in February, how many millilitres of dragonfruit syrup did the bottle contain at first?

January	February	March	Total
3x5	2x5		5x5
	2x2	3x2
15 u	4 u	6 u	25 u

Total volume of February and March is combined repeated identity.  Make the total volume of February and March the same.  LCM of 2 and 5 is 10.

Volume of more dragonfruit syrup in the bottle used in January than February
= 15 u - 4 u
= 11 u

11 u = 0.55 

1 u = 0.55 ÷ 11 = 0.05

Amount of dragonfruit syrup in the bottle at first
= 25 u
= 25 x 0.05
= 1.25 ℓ

1 ℓ = 1000 mℓ

Amount of dragonfruit syrup in the bottle at first
= 1.25 x 1000
= 1250 mℓ

Answer(s): 1250 mℓ