Mrs Riordan was preparing some starfruit syrup concentration for her friends. The amount of starfruit syrup initially used was
35 of the amount of water used. To make it more diluted, she decided to add 1300 mℓ more water into the syrup drink such that
16 of the concentration was syrup. How much syrup did she use?
|
Syrup |
Water |
Before |
3x1 = 3 u |
5x1 = 5 u |
Change |
|
+ 1300 mℓ |
After |
1x3 = 3 u |
5x3 = 15 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 Riordan added
= 15 u - 5 u
= 10 u
10 u = 1300
1 u = 1300 ÷ 10 = 130
Volume of syrup that Mrs Riordan used
= 3 u
= 3 x 130
= 390 mℓ
Answer(s): 390 mℓ