Kimberly purchased a bottle of grapefruit syrup to make drinks. She used ³₅ of the syrup in February. She then used the remaining syrup in March and April in the ratio 1 : 4. Given that the amount of the grapefruit syrup used in February was 1.04 ℓ more than that in March, how many millilitres of grapefruit syrup did the bottle contain at first?

February	March	April	Total
3x5	2x5		5x5
	1x2	4x2
15 u	2 u	8 u	25 u

Total volume of March and April is combined repeated identity.  Make the total volume of March and April the same.  LCM of 2 and 5 is 10.

Volume of more grapefruit syrup in the bottle used in February than March
= 15 u - 2 u
= 13 u

13 u = 1.04 

1 u = 1.04 ÷ 13 = 0.08

Amount of grapefruit syrup in the bottle at first
= 25 u
= 25 x 0.08
= 2 ℓ

1 ℓ = 1000 mℓ

Amount of grapefruit syrup in the bottle at first
= 2 x 1000
= 2000 mℓ

Answer(s): 2000 mℓ