Mrs Lee was preparing some mangosteen syrup concentration for her friends. The amount of mangosteen syrup initially used was
34 of the amount of water used. To make it more diluted, she decided to add 1100 mℓ more water into the syrup drink such that
19 of the concentration was syrup. How much syrup did she use?
|
Syrup |
Water |
Before |
3x1 = 3 u |
4x1 = 4 u |
Change |
|
+ 1100 mℓ |
After |
1x3 = 3 u |
8x3 = 24 u |
The volume of syrup at first and in the end remains unchanged. Make the volume of syrup the same. LCM of 1 and 3 is 3.
Volume of water that Mrs Lee added
= 24 u - 4 u
= 20 u
20 u = 1100
1 u = 1100 ÷ 20 = 55
Volume of syrup that Mrs Lee used
= 3 u
= 3 x 55
= 165 mℓ
Answer(s): 165 mℓ