Question

O mama are n paini identice ca forma si greutate. Ea imparte toate painile la cei trei copii ai sai in modul urmator : primului copil ii da jumatate de cantitate si o jumatate de paine . Celui de al doilea copil ii da jumatatea de cantitatea de paine ramas si jumatatea de paine . Celui de al treilea copiò ii da o paine . Aflati n .

Answer 1

(n/2+1/2)+[1/2+(n-n/2-1)/2]+1=n <=> (n+1)/2+(n-n/2-1+1)/2+1=n <=> (n+1)/2+(n-n/2)/2+1=n <=> n/2+1/2+(2n/2-n/2)/2+1=n <=> n/2+1/2+(n/2)/2+1=n <=> n/2+n/4+1/2+1=n <=> 2n/4+n/4+1/2+2/2=n <=> 3n/4+3/2=n <=> n-3n/4=3/2 <=> 4n/4-3n/4=3/2 <=> n/4=3/2 <=> n=3/2•4=3•2=6

Answer 2

cantitatea de paine /......................................../
primului                  /.............../+1/2
         al doilea                          +1/2...../
                             al treileaa                 /........../= 1 paine
1 paine + cele 2 jumatati formeaza 2 paini
2 paini reprezinta jumatate din numarul total al painilor
cate paini are in total?
2 + 2 = 4 paini