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Problema clasa a II- a

Bunicul are in curte 26 de gaste, curci si rate.
Stiind ca gastele si curcile sunt 20, iar curcile si ratele sunt 14, afla cate pasari de fiecare fel are bunicul.


Răspuns :

g+c+r=26
g+c=20
c+r=14
20+r=26
r=26-20
r=6
c+6=14
c=14-6
c=8
g+8=20
g=20-8
g=12


[tex]g-nr.~gaste \\ c-nr.~curci \\ r-nr.~rate \\\underline{g+c}+r=26| \\ ~~~~~~\underline{g+c}=20|\Rightarrow r=26-20;~ \boxed{r=6} \\ c+r=14=>\boxed{c=8} \\ Si~ g=26-c-r;~g=26-6-8;~\boxed{g=12} \\ Deci,~nr.~gastelor~este~\underline{12},~al~ratelor~\underline{6},~iar~al~curcilor~\underline{8}.[/tex]