Anna purchased a bottle of mango syrup to make drinks. She used ¹₄ of the syrup in March. She then used the remaining syrup in April and May in the ratio 1 : 7. Given that the amount of the mango syrup used in March was 0.4 ℓ more than that in April, how many millilitres of mango syrup did the bottle contain at first?

March	April	May	Total
1x8	3x8		4x8
	1x3	7x3
8 u	3 u	21 u	32 u

Total volume of April and May is combined repeated identity.  Make the total volume of April and May the same.  LCM of 3 and 8 is 24.

Volume of more mango syrup in the bottle used in March than April
= 8 u - 3 u
= 5 u

5 u = 0.4 

1 u = 0.4 ÷ 5 = 0.08

Amount of mango syrup in the bottle at first
= 32 u
= 32 x 0.08
= 2.56 ℓ

1 ℓ = 1000 mℓ

Amount of mango syrup in the bottle at first
= 2.56 x 1000
= 2560 mℓ

Answer(s): 2560 mℓ