Vanessa purchased a bottle of kiwi syrup to make drinks. She used ²₅ of the syrup in January. She then used the remaining syrup in February and March in the ratio 2 : 3. Given that the amount of the kiwi syrup used in January was 0.2 ℓ more than that in February, how many millilitres of kiwi syrup did the bottle contain at first?

January	February	March	Total
2x5	3x5		5x5
	2x3	3x3
10 u	6 u	9 u	25 u

Total volume of February and March is combined repeated identity.  Make the total volume of February and March the same.  LCM of 3 and 5 is 15.

Volume of more kiwi syrup in the bottle used in January than February
= 10 u - 6 u
= 4 u

4 u = 0.2 

1 u = 0.2 ÷ 4 = 0.05

Amount of kiwi syrup in the bottle at first
= 25 u
= 25 x 0.05
= 1.25 ℓ

1 ℓ = 1000 mℓ

Amount of kiwi syrup in the bottle at first
= 1.25 x 1000
= 1250 mℓ

Answer(s): 1250 mℓ