Cathy purchased a bottle of dragonfruit syrup to make drinks. She used
35 of the syrup in February. She then used the remaining syrup in March and April in the ratio 1 : 2. Given that the amount of the dragonfruit syrup used in February was 1.26 ℓ more than that in March, how many millilitres of dragonfruit syrup did the bottle contain at first?
February |
March |
April |
Total |
3x3 |
2x3 |
5x3 |
|
1x2 |
2x2 |
|
9 u |
2 u |
4 u |
15 u |
Total volume of March and April is combined repeated identity. Make the total volume of March and April the same. LCM of 2 and 3 is 6.
Volume of more dragonfruit syrup in the bottle used in February than March
= 9 u - 2 u
= 7 u
7 u = 1.26
1 u = 1.26 ÷ 7 = 0.18
Amount of dragonfruit syrup in the bottle at first
= 15 u
= 15 x 0.18
= 2.7 ℓ
1 ℓ = 1000 mℓ
Amount of dragonfruit syrup in the bottle at first
= 2.7 x 1000
= 2700 mℓ
Answer(s): 2700 mℓ