Question

daca se aseaza cate 2 elevi intr-o banca si in alta sta unul singur, raman 6 banci libere. daca se aseaza cate 1 elev in banca, raman 6 elevi in picioare. cate banci sunt in clasa?

Answer 1

Răspuns:

19 banci; 25 elevi

Explicație pas cu pas:

$e - numarul\: de\: elevi\\\\b - numarul \:de\: banci\\\\2 * (b - 7) + 1 = e\\\\1 * b + 6 = e\\\\egalam\: ecuatiile\\\\2b-14+1=b+6\\\\2b-13 = b+6\\\\2b-b -13 = 6\\\\b-13=6\\\\b = 6+13\\\\\boxed{b = 19}\\\\e = 1*19+6\\\\\boxed{b = 25}$