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Maria , Andrei si Ciprian au adunat impreunu 91 de castane . Andrei a adunat cat jumatate din numarul castanelor adunate de Maria , iar Ciprian cat
jumatate din numarul castanelor adunate de Andrei . Cate castane au adunat fiecare copiil ?


Răspuns :

maria are 4 segmente
andrei are 2 segmente
ciprian are 1 segment si se rezolva asa
 91:7=13
13x2=26
26x2=52
13+26+52=91(castane)
Total 91 castane.
Maria=a
Andrei=b
Ciprian=c
a+b+c=91
b=[tex] \frac{a}{2} [/tex]
c=[tex] \frac{b}{2} [/tex]=[tex] \frac{a}{4} [/tex]
a+[tex] \frac{a}{2y} [/tex]+[tex] \frac{a}{4} [/tex]=91 Aducem la acelasi numitor!(4)
[tex] \frac{4a+2a+a}{4} = \frac{364}{4} /*4[/tex]
7a=364==>a=52
b=[tex] \frac{a}{2} = \frac{52}{2} =26[/tex]
c=[tex] \frac{a}{4} = \frac{52}{4} =13[/tex]