Nora purchased a bottle of maple syrup. She used ⁵₉ of the maple syrup in January. She then used the remaining maple syrup in February and March in the ratio 1 : 4. Given that the amount of the maple syrup used in March was 0.45 ℓ less than that in January, how many millilitres of maple syrup did the bottle contain at first?

January	February	March	Total
5x5	4x5		9x5
	1x4	4x4
25 u	4 u	16 u	45 u

Total volume of February and March is combined repeated identity. Make the total volume of February and March the same. LCM of 4 and 5 is 20.

Volume of less maple syrup syrup in the bottle used in March than January
= 25 u - 16 u
= 9 u

9 u = 0.45 

1 u = 0.45 ÷ 9 = 0.05

Amount of maple syrup in the bottle at first
= 45 u
= 45 x 0.05
= 2.25 ℓ

1 ℓ = 1000 mℓ

Amount of maple syrup in the bottle at first
= 2.25 x 1000
= 2250 mℓ

Answer(s): 2250 mℓ