Julie purchased a bottle of peach 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 : 4. Given that the amount of the peach syrup used in March was 0.06 ℓ more than that in April, how many millilitres of peach syrup did the bottle contain at first?

March	April	May	Total
1x5	3x5		4x5
	1x3	4x3
5 u	3 u	12 u	20 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 5 is 15.

Volume of more peach syrup in the bottle used in March than April
= 5 u - 3 u
= 2 u

2 u = 0.06 

1 u = 0.06 ÷ 2 = 0.03

Amount of peach syrup in the bottle at first
= 20 u
= 20 x 0.03
= 0.6 ℓ

1 ℓ = 1000 mℓ

Amount of peach syrup in the bottle at first
= 0.6 x 1000
= 600 mℓ

Answer(s): 600 mℓ