Cathy purchased a bottle of chikoo syrup to make drinks. She used
14 of the syrup in February. She then used the remaining syrup in March and April in the ratio 3 : 8. Given that the amount of the chikoo syrup used in February was 0.08 ℓ more than that in March, how many millilitres of chikoo syrup did the bottle contain at first?
February |
March |
April |
Total |
1x11 |
3x11 |
4x11 |
|
3x3 |
8x3 |
|
11 u |
9 u |
24 u |
44 u |
Total volume of March and April is combined repeated identity. Make the total volume of March and April the same. LCM of 3 and 11 is 33.
Volume of more chikoo syrup in the bottle used in February than March
= 11 u - 9 u
= 2 u
2 u = 0.08
1 u = 0.08 ÷ 2 = 0.04
Amount of chikoo syrup in the bottle at first
= 44 u
= 44 x 0.04
= 1.76 ℓ
1 ℓ = 1000 mℓ
Amount of chikoo syrup in the bottle at first
= 1.76 x 1000
= 1760 mℓ
Answer(s): 1760 mℓ