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