Question

Daca intr-o sala de clasa se aseaza cate 2 elevi intr-o banca raman 6 elevi in picioare,iar daca se aseaza cate 3 elevi intr-o banca raman2banci neocupate(celelalte banci fiind perfect ocupate).Cate banci si cati elevi sunt in acea sala?

Answer 1

$x\to \ numarul \ bancilor \\\\ 2x+6\to numarul \ elevilor \\ 3(x-2)\tonumarul elevilor \\\\\ 2x+6=3(x-2) \\\\ 2x+6=3x-6 \\\\ 2x-3x=-6-6 \\\\ -x=-12 \\\\ \boxed{x=12} \\\\ 2*12+6= \\\\ =24+6= \\\\ =\boxed{30-elevi}$