Question

Daca asezam elevii unei clase cate 3 in banca,raman 2 elevi in picioare,iar daca ii asezam cate 4 raman 2 banci libere. Cati elevi si cate banci sunt?

Answer 1

Răspuns:  10 banci si 32 elevi

Explicație pas cu pas:

Notez cu ,,b" = numarul bancilor

3 × b + 2 → cate 3 elevi in banca, raman 2 elevi in picioare

4 × ( b - 2 ) → cate 4 elevi in banca, raman 2 banci libere

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4 × ( b - 2 ) = 3 × b + 2 → elevi

4 × b - 8 = 3 × b + 2

4 × b - 3 × b = 2 + 8

b = 10 ( banci )

3 × 10 + 2 = 32 elevi

sau:

4 × ( 10 - 2 ) = 4 × 8 = 32 elevi