Jane purchased a bottle of starfruit 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 2 : 9. Given that the amount of the starfruit syrup used in March was 0.2 ℓ more than that in April, how many millilitres of starfruit syrup did the bottle contain at first?
March |
April |
May |
Total |
1x11 |
3x11 |
4x11 |
|
2x3 |
9x3 |
|
11 u |
6 u |
27 u |
44 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 11 is 33.
Volume of more starfruit syrup in the bottle used in March than April
= 11 u - 6 u
= 5 u
5 u = 0.2
1 u = 0.2 ÷ 5 = 0.04
Amount of starfruit syrup in the bottle at first
= 44 u
= 44 x 0.04
= 1.76 ℓ
1 ℓ = 1000 mℓ
Amount of starfruit syrup in the bottle at first
= 1.76 x 1000
= 1760 mℓ
Answer(s): 1760 mℓ