Usha purchased a bottle of oil. She used
58 of the oil in March. She then used the remaining oil in April and May in the ratio 4 : 9. Given that the amount of the oil used in May was 0.76 ℓ less than that in March, how many millilitres of oil did the bottle contain at first?
March |
April |
May |
Total |
5x13 |
3x13 |
8x13 |
|
4x3 |
9x3 |
|
65 u |
12 u |
27 u |
104 u |
Total volume of April and May is combined repeated identity. Make the total volume of April and May the same. LCM of 3 and 13 is 39.
Volume of less oil syrup in the bottle used in May than March
= 65 u - 27 u
= 38 u
38 u = 0.76
1 u = 0.76 ÷ 38 = 0.02
Amount of oil in the bottle at first
= 104 u
= 104 x 0.02
= 2.08 ℓ
1 ℓ = 1000 mℓ
Amount of oil in the bottle at first
= 2.08 x 1000
= 2080 mℓ
Answer(s): 2080 mℓ