Zara purchased a bottle of passion fruit syrup to make drinks. She used
35 of the syrup in March. She then used the remaining syrup in April and May in the ratio 2 : 3. Given that the amount of the passion fruit syrup used in March was 1.32 ℓ more than that in April, how many millilitres of passion fruit syrup did the bottle contain at first?
March |
April |
May |
Total |
3x5 |
2x5 |
5x5 |
|
2x2 |
3x2 |
|
15 u |
4 u |
6 u |
25 u |
Total volume of April and May is combined repeated identity. Make the total volume of April and May the same. LCM of 2 and 5 is 10.
Volume of more passion fruit syrup in the bottle used in March than April
= 15 u - 4 u
= 11 u
11 u = 1.32
1 u = 1.32 ÷ 11 = 0.12
Amount of passion fruit syrup in the bottle at first
= 25 u
= 25 x 0.12
= 3 ℓ
1 ℓ = 1000 mℓ
Amount of passion fruit syrup in the bottle at first
= 3 x 1000
= 3000 mℓ
Answer(s): 3000 mℓ