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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.

Răspuns :

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