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:

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

Step-by-step explanation:

$20$ % of a sugar syrup of $4$ litres

$= \frac{20}{100} * 4\\= 0.8$

$4$ 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

$(\frac{0.8}{8} ) * 100\\= 10$ %

Answer 2

Answer: 10%

Step-by-step 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 :

$\dfrac{\text{Amount of sugar}}{\text{Total solution}}\times100\\\\=\dfrac{0.8}{8}\times100=10\%$

Hence, the concentration of the resulting solution= 10%