Mrs Henry was preparing some persimmon syrup concentration for her friends. The amount of persimmon syrup initially used was
34 of the amount of water used. To make it more diluted, she decided to add 1500 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 |
|
+ 1500 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 Henry added
= 24 u - 4 u
= 20 u
20 u = 1500
1 u = 1500 ÷ 20 = 75
Volume of syrup that Mrs Henry used
= 3 u
= 3 x 75
= 225 mℓ
Answer(s): 225 mℓ