Notam magaziile cu a, b, c, d, a fiind prima, b a doua s.a.m.d.
Astfel, a + b + c + d = 2700t
[tex]a = \frac{2b}{5}[/tex] si [tex] a = \frac{c}{2}\\
d = \frac{5c}{8}[/tex]
Aflam a, b si d in functie de c. Astfel, avem:
[tex]a= \frac{c}{2}[/tex] (pe care o stiam deja)
[tex]a = \frac{2b}{5}[/tex] si [tex]\frac{c}{2} => \frac{2b}{5} = \frac{c}{2}[/tex] => 4b = 5c => b = [tex] \frac{5c}{4} [/tex]
[tex]d = \frac{5c}{8}[/tex] (pe care o stiam deja)
=> a + b + c + d = [tex] \frac{c}{2} + \frac{5c}{4} + \frac{5c}{8} + c = 2700t \\
=\ \textgreater \ 4c+10c +5c + 8c = 2700t =\ \textgreater \ 27c = 2700t * 8 =\ \textgreater \ c = 800t\\
=\ \textgreater \ a = \frac{c}{2} = 400t\\
=\ \textgreater \ b = \frac{5c}{4} = 1000t\\
=\ \textgreater \ d = \frac{5c}{8} = 500t[/tex]
Daca ti-a placut, plz coroana!