Mrs Cody was preparing some passion fruit syrup concentration for her friends. The amount of passion fruit syrup initially used was
38 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
18 of the concentration was syrup. How much syrup did she use?
|
Syrup |
Water |
Before |
3x1 = 3 u |
8x1 = 8 u |
Change |
|
+ 1300 mℓ |
After |
1x3 = 3 u |
7x3 = 21 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 Cody added
= 21 u - 8 u
= 13 u
13 u = 1300
1 u = 1300 ÷ 13 = 100
Volume of syrup that Mrs Cody used
= 3 u
= 3 x 100
= 300 mℓ
Answer(s): 300 mℓ