Mrs Caden was preparing some passion fruit syrup concentration for her friends. The amount of passion fruit syrup initially used was
34 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
19 of the concentration was syrup. How much syrup did she use?
|
Syrup |
Water |
Before |
3x1 = 3 u |
4x1 = 4 u |
Change |
|
+ 1300 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 Caden added
= 24 u - 4 u
= 20 u
20 u = 1300
1 u = 1300 ÷ 20 = 65
Volume of syrup that Mrs Caden used
= 3 u
= 3 x 65
= 195 mℓ
Answer(s): 195 mℓ