Gwen purchased a bottle of vinegar. She used
37 of the vinegar in February. She then used the remaining vinegar in March and April in the ratio 4 : 5. Given that the amount of the vinegar used in April was 0.21 ℓ less than that in February, how many millilitres of vinegar did the bottle contain at first?
February |
March |
April |
Total |
3x9 |
4x9 |
7x9 |
|
4x4 |
5x4 |
|
27 u |
16 u |
20 u |
63 u |
Total volume of March and April is combined repeated identity. Make the total volume of March and April the same. LCM of 4 and 9 is 36.
Volume of less vinegar syrup in the bottle used in April than February
= 27 u - 20 u
= 7 u
7 u = 0.21
1 u = 0.21 ÷ 7 = 0.03
Amount of vinegar in the bottle at first
= 63 u
= 63 x 0.03
= 1.89 ℓ
1 ℓ = 1000 mℓ
Amount of vinegar in the bottle at first
= 1.89 x 1000
= 1890 mℓ
Answer(s): 1890 mℓ