loop with awk

Hi,

I think it's very simple, but I don't find how to do it.

cat A.txt :

Mme;Sylvie;Blue;Paris;FR
Mr;Dan;Green;New-York;USA
Mr;David;Allen;Cannes;France

#!/bin/bash
for f in $(cat A.txt | awk -F ";" '{print $2"+"$3}')  ;
do
echo "$f" | tr '[:upper:]' '[:lower:]'
done

OK, the result is :
sylvie+blue
dan+green
david+allen


But I want to add the result at the end of the each line of the file A.txt

Need result in a new file B.txt :

Mme;Sylvie;Blue;Paris;FR;sylvie+blue
Mr;Dan;Green;New-York;USA;dan+green
Mr;David;Allen;Cannes;France;david+allen

Regards.



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