Zoe purchased a bottle of mango 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 1 : 4. Given that the amount of the mango syrup used in March was 1.38 ℓ more than that in April, how many millilitres of mango syrup did the bottle contain at first?
March |
April |
May |
Total |
5x5 |
2x5 |
7x5 |
|
1x2 |
4x2 |
|
25 u |
2 u |
8 u |
35 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 5 is 10.
Volume of more mango syrup in the bottle used in March than April
= 25 u - 2 u
= 23 u
23 u = 1.38
1 u = 1.38 ÷ 23 = 0.06
Amount of mango syrup in the bottle at first
= 35 u
= 35 x 0.06
= 2.1 ℓ
1 ℓ = 1000 mℓ
Amount of mango syrup in the bottle at first
= 2.1 x 1000
= 2100 mℓ
Answer(s): 2100 mℓ