Jen purchased a bottle of wine. She used ⁵₉ of the wine in April. She then used the remaining wine in May and June in the ratio 2 : 3. Given that the amount of the wine used in June was 0.39 ℓ less than that in April, how many millilitres of wine did the bottle contain at first?

April	May	June	Total
5x5	4x5		9x5
	2x4	3x4
25 u	8 u	12 u	45 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 5 is 20.

Volume of less wine syrup in the bottle used in June than April
= 25 u - 12 u
= 13 u

13 u = 0.39 

1 u = 0.39 ÷ 13 = 0.03

Amount of wine in the bottle at first
= 45 u
= 45 x 0.03
= 1.35 ℓ

1 ℓ = 1000 mℓ

Amount of wine in the bottle at first
= 1.35 x 1000
= 1350 mℓ

Answer(s): 1350 mℓ