Esther purchased a bottle of vinegar. She used ⁵₉ of the vinegar in April. She then used the remaining vinegar in May and June in the ratio 1 : 2. Given that the amount of the vinegar used in June was 0.63 ℓ less than that in April, how many millilitres of vinegar did the bottle contain at first?

April	May	June	Total
5x3	4x3		9x3
	1x4	2x4
15 u	4 u	8 u	27 u

Total volume of May and June is combined repeated identity. Make the total volume of May and June the same. LCM of 4 and 3 is 12.

Volume of less vinegar syrup in the bottle used in June than April
= 15 u - 8 u
= 7 u

7 u = 0.63 

1 u = 0.63 ÷ 7 = 0.09

Amount of vinegar in the bottle at first
= 27 u
= 27 x 0.09
= 2.43 ℓ

1 ℓ = 1000 mℓ

Amount of vinegar in the bottle at first
= 2.43 x 1000
= 2430 mℓ

Answer(s): 2430 mℓ