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

Question

asked Jan 25, 2019 207k views

2 Answers

Jonathan Feenstra · Answer 1 · 2019-01-26T11:39:41+0000

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%

MarcForn · Answer 2 · 2019-01-29T11:03:48+0000

Answer:

The concentration reduces to half i.e ∦
%

Explanation:

$20\\$ % of a sugar syrup of
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

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