Question

Determinati nr. x, y, si z stiind ca sut invers proportionale cu 0,5 ; 0,15 ; 0,25 si
x + y + z = 36

Answer 1

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