Jean purchased a bottle of cooking wine. She used
25 of the cooking wine in February. She then used the remaining cooking wine in March and April in the ratio 3 : 4. Given that the amount of the cooking wine used in April was 0.14 ℓ less than that in February, how many millilitres of cooking wine did the bottle contain at first?
February |
March |
April |
Total |
2x7 |
3x7 |
5x7 |
|
3x3 |
4x3 |
|
14 u |
9 u |
12 u |
35 u |
Total volume of March and April is combined repeated identity. Make the total volume of March and April the same. LCM of 3 and 7 is 21.
Volume of less cooking wine syrup in the bottle used in April than February
= 14 u - 12 u
= 2 u
2 u = 0.14
1 u = 0.14 ÷ 2 = 0.07
Amount of cooking wine in the bottle at first
= 35 u
= 35 x 0.07
= 2.45 ℓ
1 ℓ = 1000 mℓ
Amount of cooking wine in the bottle at first
= 2.45 x 1000
= 2450 mℓ
Answer(s): 2450 mℓ