Eva purchased a bottle of mango syrup to make drinks. She used
59 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 mango syrup used in February was 0.55 ℓ more than that in March, how many millilitres of mango syrup did the bottle contain at first?
February |
March |
April |
Total |
5x3 |
4x3 |
9x3 |
|
1x4 |
2x4 |
|
15 u |
4 u |
8 u |
27 u |
Total volume of March and April is combined repeated identity. Make the total volume of March and April the same. LCM of 4 and 3 is 12.
Volume of more mango syrup in the bottle used in February than March
= 15 u - 4 u
= 11 u
11 u = 0.55
1 u = 0.55 ÷ 11 = 0.05
Amount of mango syrup in the bottle at first
= 27 u
= 27 x 0.05
= 1.35 ℓ
1 ℓ = 1000 mℓ
Amount of mango syrup in the bottle at first
= 1.35 x 1000
= 1350 mℓ
Answer(s): 1350 mℓ