Mrs Owen was preparing some apple syrup concentration for her friends. The amount of apple syrup initially used was
34 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
14 of the concentration was syrup. How much syrup did she use?
|
Syrup |
Water |
Before |
3x1 = 3 u |
4x1 = 4 u |
Change |
|
+ 1000 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 Owen added
= 9 u - 4 u
= 5 u
5 u = 1000
1 u = 1000 ÷ 5 = 200
Volume of syrup that Mrs Owen used
= 3 u
= 3 x 200
= 600 mℓ
Answer(s): 600 mℓ