Zoe purchased a bottle of kiwi syrup to make drinks. She used
35 of the syrup in February. She then used the remaining syrup in March and April in the ratio 2 : 7. Given that the amount of the kiwi syrup used in February was 1.15 ℓ more than that in March, how many millilitres of kiwi syrup did the bottle contain at first?
February |
March |
April |
Total |
3x9 |
2x9 |
5x9 |
|
2x2 |
7x2 |
|
27 u |
4 u |
14 u |
45 u |
Total volume of March and April is combined repeated identity. Make the total volume of March and April the same. LCM of 2 and 9 is 18.
Volume of more kiwi syrup in the bottle used in February than March
= 27 u - 4 u
= 23 u
23 u = 1.15
1 u = 1.15 ÷ 23 = 0.05
Amount of kiwi syrup in the bottle at first
= 45 u
= 45 x 0.05
= 2.25 ℓ
1 ℓ = 1000 mℓ
Amount of kiwi syrup in the bottle at first
= 2.25 x 1000
= 2250 mℓ
Answer(s): 2250 mℓ