Zoe purchased a bottle of cooking wine. She used
59 of the cooking wine in January. She then used the remaining cooking wine in February and March in the ratio 1 : 2. Given that the amount of the cooking wine used in March was 0.35 ℓ less than that in January, how many millilitres of cooking wine did the bottle contain at first?
January |
February |
March |
Total |
5x3 |
4x3 |
9x3 |
|
1x4 |
2x4 |
|
15 u |
4 u |
8 u |
27 u |
Total volume of February and March is combined repeated identity. Make the total volume of February and March the same. LCM of 4 and 3 is 12.
Volume of less cooking wine syrup in the bottle used in March than January
= 15 u - 8 u
= 7 u
7 u = 0.35
1 u = 0.35 ÷ 7 = 0.05
Amount of cooking wine in the bottle at first
= 27 u
= 27 x 0.05
= 1.35 ℓ
1 ℓ = 1000 mℓ
Amount of cooking wine in the bottle at first
= 1.35 x 1000
= 1350 mℓ
Answer(s): 1350 mℓ