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prima problema dau coroana

Prima Problema Dau Coroana class=

Răspuns :

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!