Mrs Bobby was preparing some apple syrup concentration for her friends. The amount of apple 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 Bobby added
= 21 u - 8 u
= 13 u
13 u = 1300
1 u = 1300 ÷ 13 = 100
Volume of syrup that Mrs Bobby used
= 3 u
= 3 x 100
= 300 mℓ
Answer(s): 300 mℓ