Irene purchased a bottle of vinegar. She used
25 of the vinegar in April. She then used the remaining vinegar in May and June in the ratio 3 : 4. Given that the amount of the vinegar used in June was 0.08 ℓ less than that in April, how many millilitres of vinegar 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 vinegar syrup in the bottle used in June than April
= 14 u - 12 u
= 2 u
2 u = 0.08
1 u = 0.08 ÷ 2 = 0.04
Amount of vinegar in the bottle at first
= 35 u
= 35 x 0.04
= 1.4 ℓ
1 ℓ = 1000 mℓ
Amount of vinegar in the bottle at first
= 1.4 x 1000
= 1400 mℓ
Answer(s): 1400 mℓ