Risa purchased a bottle of pomegranate syrup to make drinks. She used
35 of the syrup in January. She then used the remaining syrup in February and March in the ratio 1 : 2. Given that the amount of the pomegranate syrup used in January was 0.49 ℓ more than that in February, how many millilitres of pomegranate syrup did the bottle contain at first?
January |
February |
March |
Total |
3x3 |
2x3 |
5x3 |
|
1x2 |
2x2 |
|
9 u |
2 u |
4 u |
15 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 3 is 6.
Volume of more pomegranate syrup in the bottle used in January than February
= 9 u - 2 u
= 7 u
7 u = 0.49
1 u = 0.49 ÷ 7 = 0.07
Amount of pomegranate syrup in the bottle at first
= 15 u
= 15 x 0.07
= 1.05 ℓ
1 ℓ = 1000 mℓ
Amount of pomegranate syrup in the bottle at first
= 1.05 x 1000
= 1050 mℓ
Answer(s): 1050 mℓ