Mrs Rael was preparing some pomegranate syrup concentration for her friends. The amount of pomegranate syrup initially used was
35 of the amount of water used. To make it more diluted, she decided to add 1400 mℓ more water into the syrup drink such that
14 of the concentration was syrup. How much syrup did she use?
|
Syrup |
Water |
Before |
3x1 = 3 u |
5x1 = 5 u |
Change |
|
+ 1400 mℓ |
After |
1x3 = 3 u |
3x3 = 9 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 Rael added
= 9 u - 5 u
= 4 u
4 u = 1400
1 u = 1400 ÷ 4 = 350
Volume of syrup that Mrs Rael used
= 3 u
= 3 x 350
= 1050 mℓ
Answer(s): 1050 mℓ