Question

aflati x,y,z stiind ca sunt direct proportionale cu 0.1 ; 0.4 ; 0,(3) si ca suma lor este unu .

Answer 1

0,1=1/10
0,4=4/10= 2/5
0,(3)= 3/9= 1/3

x,y,z  dp  cu 1/10; 2/5 ;1/3

x/1/10= y/2/5= z/1/3=k
x*10/1= y*5/2=z*3/1=k
10x=5y/2=3z=k
x=k/10
5y=2k  y= 2k/5
z=k/3

x+y+z=1
k/10+ 2k/5 +k/3=1  aducem la acelasi numitor
3k+12k+10k=30
25k=30
k=30/25
k=6/5
x=6/5/10= 6/5 *1/10= 3/25
y=2* 6/5  /5= 12/5/5=  12/5*1/5= 12/25
z=6/5/3= 6/5*1/3=  2/5

verificare
3/25+12/25+2/5  aducem la acelasi numitor
3+12+10/25=25/25=1