Kimberly purchased a bottle of vinegar. She used
35 of the vinegar in February. She then used the remaining vinegar in March and April in the ratio 1 : 2. Given that the amount of the vinegar used in April was 0.95 ℓ less than that in February, how many millilitres of vinegar did the bottle contain at first?
February |
March |
April |
Total |
3x3 |
2x3 |
5x3 |
|
1x2 |
2x2 |
|
9 u |
2 u |
4 u |
15 u |
Total volume of March and April is combined repeated identity. Make the total volume of March and April the same. LCM of 2 and 3 is 6.
Volume of less vinegar syrup in the bottle used in April than February
= 9 u - 4 u
= 5 u
5 u = 0.95
1 u = 0.95 ÷ 5 = 0.19
Amount of vinegar in the bottle at first
= 15 u
= 15 x 0.19
= 2.85 ℓ
1 ℓ = 1000 mℓ
Amount of vinegar in the bottle at first
= 2.85 x 1000
= 2850 mℓ
Answer(s): 2850 mℓ