Question

Maria has added 4 liters of pure water to 4 liters of a 20% sugar syrup. What is the concentration of the resulting solution?

Answer 1

Answer: 10%

Explanation:

Given : Maria has added 4 liters of pure water to 4 liters of a 20% sugar syrup.

Total solution : 4+4 = 8 liters

Amount of sugar in 4 liters of 20% sugar syrup will be

Amount of sugar in 4 liters =20% of 4 liters

Amount of sugar in 4 liters = 0.20 x 4 = 0.8 liters [we can write 20%= 0.20]

Then, the concentration of the resulting solution would be :

`\frac{\text{Amount of sugar}}{\text{Total solution}}*100\\\\=(0.8)/(8)*100=10\%`

Hence, the concentration of the resulting solution= 10%

Answer 2

The concentration reduces to half i.e ∦
`10` %

Explanation:

`20\\` % of a sugar syrup of
`4` litres

`= (20)/(100) * 4\\= 0.8\\`

`4\\` litres of water is added the solution, so the new volume of solution becomes

`4 + 4\\= 8\\`

Thus, the concentration of the resulting solution will be

`((0.8)/(8) ) * 100\\= 10` %