Kimberly purchased a bottle of persimmon syrup to make drinks. She used ³₅ of the syrup in March. She then used the remaining syrup in April and May in the ratio 3 : 10. Given that the amount of the persimmon syrup used in March was 0.99 ℓ more than that in April, how many millilitres of persimmon syrup did the bottle contain at first?

March	April	May	Total
3x13	2x13		5x13
	3x2	10x2
39 u	6 u	20 u	65 u

Total volume of April and May is combined repeated identity.  Make the total volume of April and May the same.  LCM of 2 and 13 is 26.

Volume of more persimmon syrup in the bottle used in March than April
= 39 u - 6 u
= 33 u

33 u = 0.99 

1 u = 0.99 ÷ 33 = 0.03

Amount of persimmon syrup in the bottle at first
= 65 u
= 65 x 0.03
= 1.95 ℓ

1 ℓ = 1000 mℓ

Amount of persimmon syrup in the bottle at first
= 1.95 x 1000
= 1950 mℓ

Answer(s): 1950 mℓ