Emma purchased a bottle of mangosteen syrup to make drinks. She used
27 of the syrup in April. She then used the remaining syrup in May and June in the ratio 1 : 3. Given that the amount of the mangosteen syrup used in April was 0.12 ℓ more than that in May, how many millilitres of mangosteen syrup did the bottle contain at first?
April |
May |
June |
Total |
2x4 |
5x4 |
7x4 |
|
1x5 |
3x5 |
|
8 u |
5 u |
15 u |
28 u |
Total volume of May and June is combined repeated identity. Make the total volume of May and June the same. LCM of 5 and 4 is 20.
Volume of more mangosteen syrup in the bottle used in April than May
= 8 u - 5 u
= 3 u
3 u = 0.12
1 u = 0.12 ÷ 3 = 0.04
Amount of mangosteen syrup in the bottle at first
= 28 u
= 28 x 0.04
= 1.12 ℓ
1 ℓ = 1000 mℓ
Amount of mangosteen syrup in the bottle at first
= 1.12 x 1000
= 1120 mℓ
Answer(s): 1120 mℓ