Xuan purchased a bottle of mangosteen syrup to make drinks. She used
13 of the syrup in March. She then used the remaining syrup in April and May in the ratio 1 : 10. Given that the amount of the mangosteen syrup used in March was 0.54 ℓ more than that in April, how many millilitres of mangosteen syrup did the bottle contain at first?
March |
April |
May |
Total |
1x11 |
2x11 |
3x11 |
|
1x2 |
10x2 |
|
11 u |
2 u |
20 u |
33 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 11 is 22.
Volume of more mangosteen syrup in the bottle used in March than April
= 11 u - 2 u
= 9 u
9 u = 0.54
1 u = 0.54 ÷ 9 = 0.06
Amount of mangosteen syrup in the bottle at first
= 33 u
= 33 x 0.06
= 1.98 ℓ
1 ℓ = 1000 mℓ
Amount of mangosteen syrup in the bottle at first
= 1.98 x 1000
= 1980 mℓ
Answer(s): 1980 mℓ