Tammy purchased a bottle of pomegranate syrup to make drinks. She used
47 of the syrup in March. She then used the remaining syrup in April and May in the ratio 1 : 6. Given that the amount of the pomegranate syrup used in March was 1 ℓ more than that in April, how many millilitres of pomegranate syrup did the bottle contain at first?
March |
April |
May |
Total |
4x7 |
3x7 |
7x7 |
|
1x3 |
6x3 |
|
28 u |
3 u |
18 u |
49 u |
Total volume of April and May is combined repeated identity. Make the total volume of April and May the same. LCM of 3 and 7 is 21.
Volume of more pomegranate syrup in the bottle used in March than April
= 28 u - 3 u
= 25 u
25 u = 1
1 u = 1 ÷ 25 = 0.04
Amount of pomegranate syrup in the bottle at first
= 49 u
= 49 x 0.04
= 1.96 ℓ
1 ℓ = 1000 mℓ
Amount of pomegranate syrup in the bottle at first
= 1.96 x 1000
= 1960 mℓ
Answer(s): 1960 mℓ