Question

Va roooog AJUTATI-MA
20% din suma pe care o are George reprezinta 30% din suma pe care o are Alina. Ce suma are fiecare, daca impreuna au 200 lei?

Answer 1

        
$Notatii: \\ g = suma\;pe \;care\;o\;are\;George. \\ a = suma\;pe \;care\;o\;are\;Alina. \\ Rezolvare: \\ 20\%*g=30 \%*a \\ g+a=200 \\ --------- \\ \frac{20}{100}*g =\frac{30}{100}*a \\ g+a=200 \\ --------- \\ 20g=30a\\ g+a=200 \\ --------- \\ 2g=3a\\ g+a=200 \\ ---------$

$2g-3a=0 \\ g+a=200 \;\;\;\;\;\; |*3\\ --------- \\ 2g-3a=0 \\ 3g+3a=600 \\ --------- Adunam\;ecuatiile \\ 5g\;\;\;\;\;/\;=600 \\ g= \frac{600}{5} =\boxed{120 \;Lei\;are\;George} \\ a=200-g=200-120=\boxed{80 \;Lei\;are\;Alina}$