Răspuns:
Explicație pas cu pas:
0,5x= 0,15y=0,25z=k
0,5x=k=> x=k/0,5= k/5/10=10k/5=2k
0,15y=k=> y= k/0,15= k/15/100=100k/15 (se simplifica cu 5)= 20k/3
0,25z=k=> z= k/0,25= k=25/100= 100k/25=4k
X+y+z=36
2k+20k/3+4k=36
6k+ 20k/3=36 inmultim tot cu3
18k+20k=108
38k=108
K=108/38 simplificam cu 2
K=54/19
a= 2ori 54/19= 108/19
b= (20 ori 54/19)/3= 1080/19/3=1080/19 ori 1/3=360/19
c=4 ori 54/19=216/19
Verificare
a+b+c= 108/19+ 360/19+216/19=684/19=36
