a/5=b/8=n (1)
b/3=c/2=m (2)
deci b=8*n=3*m sau n/3=m/8=k
n=3*k (3)
m=8*k (4)
Inlocuim in (1) si (2):
a=5*n=15*k
b=8*n=24*k
c=2*m=16*k
Acum a+2*b+3*c=54
15*k+2*24*k+3*16*k=54
(15+48+48)*k=54
111*k=54
37*k=18
k=18*37
a=15*k=15*18/37=270/37
b=24*k=24*18/37=432/37
c=16*k=16*18/37=288/37