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Impartiti numarul 120 in parti invers proportionale respectiv cu numerele 0,2;0,5;0,25.

Răspuns :

[tex]a*0,2=b*0,5=c*0,25 \\ a* \frac{1}{5}=b* \frac{1}{2}=c* \frac{1}{4} \\ \frac{a}{5}= \frac{b}{2}= \frac{c}{4}=k \\ a=5k;b=2k;c=4k \\ a+b+c=5k+2k+4k=11k=120;k= \frac{120}{11} \\ a= \frac{600}{11};b= \frac{240}{11};c= \frac{480}{11} [/tex]