Raeann purchased a bottle of syrup. She used ³₅ of the syrup in January. She then used the remaining syrup in February and March in the ratio 6 : 7. Given that the amount of the syrup used in March was 1 ℓ less than that in January, how many millilitres of syrup did the bottle contain at first?

January	February	March	Total
3x13	2x13		5x13
	6x2	7x2
39 u	12 u	14 u	65 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 13 is 26.

Volume of less syrup syrup in the bottle used in March than January
= 39 u - 14 u
= 25 u

25 u = 1 

1 u = 1 ÷ 25 = 0.04

Amount of syrup in the bottle at first
= 65 u
= 65 x 0.04
= 2.6 ℓ

1 ℓ = 1000 mℓ

Amount of syrup in the bottle at first
= 2.6 x 1000
= 2600 mℓ

Answer(s): 2600 mℓ