Lottery - eurocents

Tereza bets in the lottery and finally wins. She went to the booth to have the prize paid out.
An elderly gentleman standing next to him wants to buy a newspaper, but he is missing five cents.
Tereza is in a generous mood after the win, so she gives the man five cents from her win.
When she comes home, Tereza recalculates the money, and it is not enough to be amazed.
Although it had an empty wallet before the prize was collected, it now contains precisely twice as much money as it should have been paid out.
Suddenly he realizes what happened. The man at the cash register paid her euros in cents and cents in euros.
How much money did Tereza win?

Correct result:

e =  31.63 Eur


c 100+x5=2 (x 100+c) c<100  x=31 c=63  e=x+c/100=31+63/100=3163100=31.63 Eur   Correctness test:  v=c+x/100=63+31/100=6331100=63.31 eur x2=v0.05=63.310.05=316350=63.26 eur x3=x2/2=63.26/2=3163100=31.63

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