Răspuns: 120 bucati de branza si 13 platouri
Explicație pas cu pas:
Notez cu ,,p" = numarul platourilor
9 x p + 3 = 12 x ( p - 3 ) => numar total de bucati de branza
9 x p + 3 → cate 9 bucati pe platou, raman 3 bucati
12 x ( p - 3 ) → cate 12 bucati pe platou, raman 3 platouri goale
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12 × ( p - 3 ) = 9 × p + 3
12 × p - 36 = 9 × p + 3
12 × p - 9 × p = 3 + 36
3 × p = 39
p = 39 : 3 ⇒ p = 13 platouri
9 × 13 + 3 = 117 + 3 = 120 bucati de branza
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Verific: ( 13 - 3 ) × 12 = 10 × 12 = 120 bucati de branza
