Xandra 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 3 : 4. Given that the amount of the oil used in June was 0.06 ℓ less than that in April, how many millilitres of oil did the bottle contain at first?
April |
May |
June |
Total |
2x7 |
3x7 |
5x7 |
|
3x3 |
4x3 |
|
14 u |
9 u |
12 u |
35 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 7 is 21.
Volume of less oil syrup in the bottle used in June than April
= 14 u - 12 u
= 2 u
2 u = 0.06
1 u = 0.06 ÷ 2 = 0.03
Amount of oil in the bottle at first
= 35 u
= 35 x 0.03
= 1.05 ℓ
1 ℓ = 1000 mℓ
Amount of oil in the bottle at first
= 1.05 x 1000
= 1050 mℓ
Answer(s): 1050 mℓ