Olivia purchased a bottle of vinegar. She used
710 of the vinegar in April. She then used the remaining vinegar in May and June in the ratio 1 : 6. Given that the amount of the vinegar used in June was 0.93 ℓ less than that in April, how many millilitres of vinegar did the bottle contain at first?
April |
May |
June |
Total |
7x7 |
3x7 |
10x7 |
|
1x3 |
6x3 |
|
49 u |
3 u |
18 u |
70 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
= 49 u - 18 u
= 31 u
31 u = 0.93
1 u = 0.93 ÷ 31 = 0.03
Amount of vinegar in the bottle at first
= 70 u
= 70 x 0.03
= 2.1 ℓ
1 ℓ = 1000 mℓ
Amount of vinegar in the bottle at first
= 2.1 x 1000
= 2100 mℓ
Answer(s): 2100 mℓ