Xuan purchased a bottle of oil. She used
59 of the oil in January. She then used the remaining oil in February and March in the ratio 1 : 9. Given that the amount of the oil used in March was 0.35 ℓ less than that in January, how many millilitres of oil did the bottle contain at first?
January |
February |
March |
Total |
5x5 |
4x5 |
9x5 |
|
1x2 |
9x2 |
|
25 u |
2 u |
18 u |
45 u |
Total volume of February and March is combined repeated identity. Make the total volume of February and March the same. LCM of 4 and 10 is 20.
Volume of less oil syrup in the bottle used in March than January
= 25 u - 18 u
= 7 u
7 u = 0.35
1 u = 0.35 ÷ 7 = 0.05
Amount of oil in the bottle at first
= 45 u
= 45 x 0.05
= 2.25 ℓ
1 ℓ = 1000 mℓ
Amount of oil in the bottle at first
= 2.25 x 1000
= 2250 mℓ
Answer(s): 2250 mℓ