Mrs Carl was preparing some orange syrup concentration for her friends. The amount of orange syrup initially used was
37 of the amount of water used. To make it more diluted, she decided to add 1200 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 |
7x1 = 7 u |
Change |
|
+ 1200 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 Carl added
= 9 u - 7 u
= 2 u
2 u = 1200
1 u = 1200 ÷ 2 = 600
Volume of syrup that Mrs Carl used
= 3 u
= 3 x 600
= 1800 mℓ
Answer(s): 1800 mℓ