Min purchased a bottle of kiwi syrup to make drinks. She used
57 of the syrup in March. She then used the remaining syrup in April and May in the ratio 3 : 4. Given that the amount of the kiwi syrup used in March was 1.45 ℓ more than that in April, how many millilitres of kiwi syrup did the bottle contain at first?
March |
April |
May |
Total |
5x7 |
2x7 |
7x7 |
|
3x2 |
4x2 |
|
35 u |
6 u |
8 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 2 and 7 is 14.
Volume of more kiwi syrup in the bottle used in March than April
= 35 u - 6 u
= 29 u
29 u = 1.45
1 u = 1.45 ÷ 29 = 0.05
Amount of kiwi syrup in the bottle at first
= 49 u
= 49 x 0.05
= 2.45 ℓ
1 ℓ = 1000 mℓ
Amount of kiwi syrup in the bottle at first
= 2.45 x 1000
= 2450 mℓ
Answer(s): 2450 mℓ