Abi purchased a bottle of wine. She used
79 of the wine in January. She then used the remaining wine in February and March in the ratio 4 : 5. Given that the amount of the wine used in March was 1.06 ℓ less than that in January, how many millilitres of wine did the bottle contain at first?
January |
February |
March |
Total |
7x9 |
2x9 |
9x9 |
|
4x2 |
5x2 |
|
63 u |
8 u |
10 u |
81 u |
Total volume of February and March is combined repeated identity. Make the total volume of February and March the same. LCM of 2 and 9 is 18.
Volume of less wine syrup in the bottle used in March than January
= 63 u - 10 u
= 53 u
53 u = 1.06
1 u = 1.06 ÷ 53 = 0.02
Amount of wine in the bottle at first
= 81 u
= 81 x 0.02
= 1.62 ℓ
1 ℓ = 1000 mℓ
Amount of wine in the bottle at first
= 1.62 x 1000
= 1620 mℓ
Answer(s): 1620 mℓ