Xylia purchased a bottle of oil. She used
25 of the oil in April. She then used the remaining oil in May and June in the ratio 7 : 10. Given that the amount of the oil used in June was 0.12 ℓ less than that in April, how many millilitres of oil did the bottle contain at first?
April |
May |
June |
Total |
2x17 |
3x17 |
5x17 |
|
7x3 |
10x3 |
|
34 u |
21 u |
30 u |
85 u |
Total volume of May and June is combined repeated identity. Make the total volume of May and June the same. LCM of 3 and 17 is 51.
Volume of less oil syrup in the bottle used in June than April
= 34 u - 30 u
= 4 u
4 u = 0.12
1 u = 0.12 ÷ 4 = 0.03
Amount of oil in the bottle at first
= 85 u
= 85 x 0.03
= 2.55 ℓ
1 ℓ = 1000 mℓ
Amount of oil in the bottle at first
= 2.55 x 1000
= 2550 mℓ
Answer(s): 2550 mℓ