Solution mixtures

We have 1 liter of 80% solution. Every hour, pour 1 dl of the solution, add 1 dl of water (a 0% solution), and mix. What percent solution will we have after two mixings?

Correct answer:

p2 =  64.8 %

Step-by-step explanation:

p0=80%=10080=54=0.8 V0=1 10=10 dl w=1 dl  V1=p0 (V0w)=0.8 (101)=536=7.2 dl  p1=V0V1=107.2=2518=0.72  V2=p1 (V0w)=0.72 (101)=25162=6.48 dl  p2=100 V0V2=100 106.48=64.8%

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