Question

Aflati x,y,z,t,stiind ca sunt invers proportionale cu numerele 1/2:1/3:0,4:0,2 si ca suma lor este 5.

Answer 1

x/(1/2)=k   ⇒ x=k/2
y/(1/3)=k   ⇒y=k/3
z/0,4=k     ⇒z=0,4k 
t/0,2=k      ⇒t=0,2k
k/2+k/3+0,4k+0,2k=5
3k+2k+2,4k+1,2k=30
8,6k=30
k=300/86=150/43
x=(150/43)/2=75/43
y=(150/43)/3=50/43
z=0,4(150/43)=60/43
z=0,2(150/43)=30/43