Mrs Simon was preparing some lemon syrup concentration for her friends. The amount of lemon syrup initially used was
310 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
15 of the concentration was syrup. How much syrup did she use?
|
Syrup |
Water |
Before |
3x1 = 3 u |
10x1 = 10 u |
Change |
|
+ 1300 mℓ |
After |
1x3 = 3 u |
4x3 = 12 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 Simon added
= 12 u - 10 u
= 2 u
2 u = 1300
1 u = 1300 ÷ 2 = 650
Volume of syrup that Mrs Simon used
= 3 u
= 3 x 650
= 1950 mℓ
Answer(s): 1950 mℓ