Fanny purchased a bottle of lemon syrup to make drinks. She used
49 of the syrup in March. She then used the remaining syrup in April and May in the ratio 1 : 3. Given that the amount of the lemon syrup used in March was 0.44 ℓ more than that in April, how many millilitres of lemon syrup did the bottle contain at first?
March |
April |
May |
Total |
4x4 |
5x4 |
9x4 |
|
1x5 |
3x5 |
|
16 u |
5 u |
15 u |
36 u |
Total volume of April and May is combined repeated identity. Make the total volume of April and May the same. LCM of 5 and 4 is 20.
Volume of more lemon syrup in the bottle used in March than April
= 16 u - 5 u
= 11 u
11 u = 0.44
1 u = 0.44 ÷ 11 = 0.04
Amount of lemon syrup in the bottle at first
= 36 u
= 36 x 0.04
= 1.44 ℓ
1 ℓ = 1000 mℓ
Amount of lemon syrup in the bottle at first
= 1.44 x 1000
= 1440 mℓ
Answer(s): 1440 mℓ