Shannon purchased a bottle of dragonfruit syrup to make drinks. She used ³₅ of the syrup in February. She then used the remaining syrup in March and April in the ratio 3 : 4. Given that the amount of the dragonfruit syrup used in February was 0.45 ℓ more than that in March, how many millilitres of dragonfruit syrup did the bottle contain at first?

February	March	April	Total
3x7	2x7		5x7
	3x2	4x2
21 u	6 u	8 u	35 u

Total volume of March and April is combined repeated identity.  Make the total volume of March and April the same.  LCM of 2 and 7 is 14.

Volume of more dragonfruit syrup in the bottle used in February than March
= 21 u - 6 u
= 15 u

15 u = 0.45 

1 u = 0.45 ÷ 15 = 0.03

Amount of dragonfruit syrup in the bottle at first
= 35 u
= 35 x 0.03
= 1.05 ℓ

1 ℓ = 1000 mℓ

Amount of dragonfruit syrup in the bottle at first
= 1.05 x 1000
= 1050 mℓ

Answer(s): 1050 mℓ