Question

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

Answer 1

x+y+z+t=5
$x* \frac{1}{2} =y* \frac{1}{3} =z* \frac{2}{5} =t* \frac{1}{5} =k$
x=2k
y=3k
z=$\frac{5k}{2}$
t=5k
10k+$\frac{5k}{2}$=5
25k=10
k=$\frac{2}{5}$
x=$\frac{4}{5}$
y=$\frac{6}{5}$
z=1
t=2