Gwen 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 : 4. Given that the amount of the vinegar used in April was 0.49 ℓ less than that in February, how many millilitres of vinegar did the bottle contain at first?
February |
March |
April |
Total |
3x5 |
2x5 |
5x5 |
|
1x2 |
4x2 |
|
15 u |
2 u |
8 u |
25 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 5 is 10.
Volume of less vinegar syrup in the bottle used in April than February
= 15 u - 8 u
= 7 u
7 u = 0.49
1 u = 0.49 ÷ 7 = 0.07
Amount of vinegar in the bottle at first
= 25 u
= 25 x 0.07
= 1.75 ℓ
1 ℓ = 1000 mℓ
Amount of vinegar in the bottle at first
= 1.75 x 1000
= 1750 mℓ
Answer(s): 1750 mℓ