Mrs Glen was preparing some kiwi syrup concentration for her friends. The amount of kiwi syrup initially used was
38 of the amount of water used. To make it more diluted, she decided to add 900 mℓ more water into the syrup drink such that
17 of the concentration was syrup. How much syrup did she use?
|
Syrup |
Water |
Before |
3x1 = 3 u |
8x1 = 8 u |
Change |
|
+ 900 mℓ |
After |
1x3 = 3 u |
6x3 = 18 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 Glen added
= 18 u - 8 u
= 10 u
10 u = 900
1 u = 900 ÷ 10 = 90
Volume of syrup that Mrs Glen used
= 3 u
= 3 x 90
= 270 mℓ
Answer(s): 270 mℓ