Jaslyn purchased a bottle of mango syrup to make drinks. She used
59 of the syrup in February. She then used the remaining syrup in March and April in the ratio 1 : 4. Given that the amount of the mango syrup used in February was 1.26 ℓ more than that in March, how many millilitres of mango syrup did the bottle contain at first?
February |
March |
April |
Total |
5x5 |
4x5 |
9x5 |
|
1x4 |
4x4 |
|
25 u |
4 u |
16 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 4 and 5 is 20.
Volume of more mango syrup in the bottle used in February than March
= 25 u - 4 u
= 21 u
21 u = 1.26
1 u = 1.26 ÷ 21 = 0.06
Amount of mango syrup in the bottle at first
= 45 u
= 45 x 0.06
= 2.7 ℓ
1 ℓ = 1000 mℓ
Amount of mango syrup in the bottle at first
= 2.7 x 1000
= 2700 mℓ
Answer(s): 2700 mℓ