Shiyun purchased a bottle of syrup. She used
57 of the syrup in January. She then used the remaining syrup in February and March in the ratio 4 : 5. Given that the amount of the syrup used in March was 1.05 ℓ less than that in January, how many millilitres of syrup did the bottle contain at first?
January |
February |
March |
Total |
5x9 |
2x9 |
7x9 |
|
4x2 |
5x2 |
|
45 u |
8 u |
10 u |
63 u |
Total volume of February and March is combined repeated identity. Make the total volume of February and March the same. LCM of 2 and 9 is 18.
Volume of less syrup syrup in the bottle used in March than January
= 45 u - 10 u
= 35 u
35 u = 1.05
1 u = 1.05 ÷ 35 = 0.03
Amount of syrup in the bottle at first
= 63 u
= 63 x 0.03
= 1.89 ℓ
1 ℓ = 1000 mℓ
Amount of syrup in the bottle at first
= 1.89 x 1000
= 1890 mℓ
Answer(s): 1890 mℓ