Răspuns:
27 elevi
Explicație pas cu pas:
Notam cu
a - numarul elevilor absenti
p - numarul elevilor prezenti
[tex]a = \dfrac{1}{8}\cdot p \Rightarrow \boxed{a = p:8}\\\\a-1 = 8\%\cdot (p+1)\\\\a = \dfrac{8}{100}\cdot p+\dfrac{8}{100} \cdot 1 +1\\\\a=0,08p+0,08+1\\\\\boxed{a=0,08p+1,08}\\\\ egalam\:ecuatiile\\\\p:8 = 0,08p+1,08\:\:\:\:|\cdot 8\\\\p=0,08p\cdot8 +1,08\cdot8\\\\p= 0,64p+8,64\\\\p-0,64p=8,64\\\\0,36p = 8,64\\\\p=8,64:0,36\Rightarrow \boxed{p=24\:elevi\:prezenti}\\\\a = 24:8\Rightarrow \boxed{a=3\:elevi\: absenti}\\\\a+p=24+3 = 27 \Rightarrow \boxed{27\:elevi\:sunt\:in\:clasa}[/tex]
