Victoria purchased a bottle of syrup. She used
57 of the syrup in February. She then used the remaining syrup in March and April in the ratio 2 : 5. Given that the amount of the syrup used in April was 1 ℓ less than that in February, how many millilitres of syrup did the bottle contain at first?
February |
March |
April |
Total |
5x7 |
2x7 |
7x7 |
|
2x2 |
5x2 |
|
35 u |
4 u |
10 u |
49 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 7 is 14.
Volume of less syrup syrup in the bottle used in April than February
= 35 u - 10 u
= 25 u
25 u = 1
1 u = 1 ÷ 25 = 0.04
Amount of syrup in the bottle at first
= 49 u
= 49 x 0.04
= 1.96 ℓ
1 ℓ = 1000 mℓ
Amount of syrup in the bottle at first
= 1.96 x 1000
= 1960 mℓ
Answer(s): 1960 mℓ