Penelope purchased a bottle of oil. She used
47 of the oil in March. She then used the remaining oil in April and May in the ratio 3 : 4. Given that the amount of the oil used in May was 0.48 ℓ less than that in March, how many millilitres of oil did the bottle contain at first?
March |
April |
May |
Total |
4x7 |
3x7 |
7x7 |
|
3x3 |
4x3 |
|
28 u |
9 u |
12 u |
49 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 7 is 21.
Volume of less oil syrup in the bottle used in May than March
= 28 u - 12 u
= 16 u
16 u = 0.48
1 u = 0.48 ÷ 16 = 0.03
Amount of oil in the bottle at first
= 49 u
= 49 x 0.03
= 1.47 ℓ
1 ℓ = 1000 mℓ
Amount of oil in the bottle at first
= 1.47 x 1000
= 1470 mℓ
Answer(s): 1470 mℓ