Question

Ajutor!!! impartiti numarul 600in parti direct proportionale cu 7. 3si 2

Answer 1

[tex]x+y+z=600\\\\ \frac{x}{7}= \frac{y}{3} = \frac{z}{2} =k \\\\ \frac{x}{7} =k =\ \textgreater \ x=7k\\\\ \frac{y}{3}=k=\ \textgreater \ y=3k\\\\ \frac{z}{2} =k =\ \textgreater \ z=2k\\\\ 7k +3k +2k= 600\\\\ 12k =600\\\\ k= \frac{600}{12} \\\\ \boxed{k= 50}\\\\ x=7k\\\\x= 7*50\\\\\boxed{x=350}\\\\ y= 3k\\\\ y=3 *50\\\\\boxed{y= 150}\\\\ z= 2k\\\\z = 2* 50\\\\\boxed{z= 100}\\\\\\\\\\\\ \underline{\bold{Proba:}}\\\\ x+y+z=600 =\ \textgreater \ 350+150+100=600[/tex]