Question

la o masa la care stau 5 persoane, este asezata o fructiera , in care se afla de 3 ori mai multe prune decat mere.dupa ce fiecare persoana ia cate un mar si cate o pruna, raman in fructiera de 5 ori mai multe prune decat mere. cate mere si cate prune erau initial?

Answer 1

   
[tex]\displaystyle\\ \left \{ {{3m=p}~~~~~~~ \atop {5(m-5)=p-5}} \right.\\\\ \left \{ {{3m=p}~~~~ \atop {5m-25=p-5}} \right.\\\\ \left \{ {{3m-p=0}~~~~~ \atop {5m-p=25-5}} \right.\\\\ \left \{ {{3m-p=0}~~|\times(-1) \atop {5m-p=20~~~~~~~~~~~~}} \right.\\\\ \left \{ {{-3m+p=0} \atop {5m-p=20}} \right.\\ \texttt{---------------- Adunam ecuatiile.}\\ ~~~~2m~~~\backslash~~=20\\\\ ~~~~~m= \frac{20}{2} = \boxed{\bf 10~mere}\\\\ p = 3m = 3\times 10 = \boxed{\bf 30~de~prune} [/tex]