Erika purchased a bottle of starfruit syrup to make drinks. She used
38 of the syrup in March. She then used the remaining syrup in April and May in the ratio 2 : 5. Given that the amount of the starfruit syrup used in March was 0.22 ℓ more than that in April, how many millilitres of starfruit syrup did the bottle contain at first?
March |
April |
May |
Total |
3x7 |
5x7 |
8x7 |
|
2x5 |
5x5 |
|
21 u |
10 u |
25 u |
56 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 7 is 35.
Volume of more starfruit syrup in the bottle used in March than April
= 21 u - 10 u
= 11 u
11 u = 0.22
1 u = 0.22 ÷ 11 = 0.02
Amount of starfruit syrup in the bottle at first
= 56 u
= 56 x 0.02
= 1.12 ℓ
1 ℓ = 1000 mℓ
Amount of starfruit syrup in the bottle at first
= 1.12 x 1000
= 1120 mℓ
Answer(s): 1120 mℓ