a,b,c ∈ N
[tex] \frac{a}{2}= \frac{b}{3}= \frac{c}{5}= \frac{a+b+c}{2+3+5}= \frac{1500}{10}=150
[/tex]
[tex] \frac{a}{2}\ \textless \ =\ \textgreater \ 150=300[/tex]
[tex] \frac{b}{3}\ \textless \ =\ \textgreater \ 150=450[/tex]
[tex] \frac{c}{5}=150\ \textless \ =\ \textgreater \ 750 [/tex]