Răspuns :
a/n = b/m = c/p = 1/5
De aici rezulta:
n = 5a
m = 5b
p = 5c
Calculam:
(a+b+c)/(n+m+p) = (a+b+c)/(5a+5b+5c) = (a+b+c)/5(a+b+c) = 1/5
a / n = b / m = c / p = 1 / 5; n, m, p ≠ 0
a / n = 1 / 5 ⇒ n = 5 a
b / m = 1 / 5 ⇒ m = 5 b
c / p = 1 / 5 ⇒ p = 5 c
__________________
( a + b + c ) / ( n + m + p ) = 1 / 5 → raportul
= ( a + b + c ) / ( 5 a + 5 b + 5 c ) =
= ( a + b + c ) / 5 × ( a + b + c ) =
= 1 / 5