Shiyun purchased a bottle of oil. She used
79 of the oil in January. She then used the remaining oil in February and March in the ratio 1 : 2. Given that the amount of the oil used in March was 0.68 ℓ less than that in January, how many millilitres of oil did the bottle contain at first?
January |
February |
March |
Total |
7x3 |
2x3 |
9x3 |
|
1x2 |
2x2 |
|
21 u |
2 u |
4 u |
27 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 3 is 6.
Volume of less oil syrup in the bottle used in March than January
= 21 u - 4 u
= 17 u
17 u = 0.68
1 u = 0.68 ÷ 17 = 0.04
Amount of oil in the bottle at first
= 27 u
= 27 x 0.04
= 1.08 ℓ
1 ℓ = 1000 mℓ
Amount of oil in the bottle at first
= 1.08 x 1000
= 1080 mℓ
Answer(s): 1080 mℓ