Mrs Oscar was preparing some orange syrup concentration for her friends. The amount of orange 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
16 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 |
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 Oscar added
= 15 u - 10 u
= 5 u
5 u = 1300
1 u = 1300 ÷ 5 = 260
Volume of syrup that Mrs Oscar used
= 3 u
= 3 x 260
= 780 mℓ
Answer(s): 780 mℓ