Mrs Pierre was preparing some persimmon syrup concentration for her friends. The amount of persimmon syrup initially used was
35 of the amount of water used. To make it more diluted, she decided to add 1000 mℓ more water into the syrup drink such that
16 of the concentration was syrup. How much syrup did she use?
|
Syrup |
Water |
Before |
3x1 = 3 u |
5x1 = 5 u |
Change |
|
+ 1000 mℓ |
After |
1x3 = 3 u |
5x3 = 15 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 Pierre added
= 15 u - 5 u
= 10 u
10 u = 1000
1 u = 1000 ÷ 10 = 100
Volume of syrup that Mrs Pierre used
= 3 u
= 3 x 100
= 300 mℓ
Answer(s): 300 mℓ