Xylia purchased a bottle of vinegar. She used
47 of the vinegar in April. She then used the remaining vinegar in May and June in the ratio 1 : 7. Given that the amount of the vinegar used in June was 0.44 ℓ less than that in April, how many millilitres of vinegar did the bottle contain at first?
April |
May |
June |
Total |
4x8 |
3x8 |
7x8 |
|
1x3 |
7x3 |
|
32 u |
3 u |
21 u |
56 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 8 is 24.
Volume of less vinegar syrup in the bottle used in June than April
= 32 u - 21 u
= 11 u
11 u = 0.44
1 u = 0.44 ÷ 11 = 0.04
Amount of vinegar in the bottle at first
= 56 u
= 56 x 0.04
= 2.24 ℓ
1 ℓ = 1000 mℓ
Amount of vinegar in the bottle at first
= 2.24 x 1000
= 2240 mℓ
Answer(s): 2240 mℓ