Mrs Fred was preparing some starfruit syrup concentration for her friends. The amount of starfruit 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
19 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 |
8x3 = 24 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 Fred added
= 24 u - 4 u
= 20 u
20 u = 1000
1 u = 1000 ÷ 20 = 50
Volume of syrup that Mrs Fred used
= 3 u
= 3 x 50
= 150 mℓ
Answer(s): 150 mℓ