Jane purchased a bottle of starfruit syrup to make drinks. She used
15 of the syrup in March. She then used the remaining syrup in April and May in the ratio 1 : 10. Given that the amount of the starfruit syrup used in March was 0.35 ℓ more than that in April, how many millilitres of starfruit syrup did the bottle contain at first?
March |
April |
May |
Total |
1x11 |
4x11 |
5x11 |
|
1x4 |
10x4 |
|
11 u |
4 u |
40 u |
55 u |
Total volume of April and May is combined repeated identity. Make the total volume of April and May the same. LCM of 4 and 11 is 44.
Volume of more starfruit syrup in the bottle used in March than April
= 11 u - 4 u
= 7 u
7 u = 0.35
1 u = 0.35 ÷ 7 = 0.05
Amount of starfruit syrup in the bottle at first
= 55 u
= 55 x 0.05
= 2.75 ℓ
1 ℓ = 1000 mℓ
Amount of starfruit syrup in the bottle at first
= 2.75 x 1000
= 2750 mℓ
Answer(s): 2750 mℓ