{x;y;z} dp {4/5;5/2;3/4}
x/4/5 = y/5/2 = z/3/4 = k
x/4•1/5 = y/5•1/2 = z/3•1/4 = k
x/20 = y/10 = z/12 = k
x/20 = k
x = 20k
y/10 = k
y = 10k
z/12 = k
z = 12k
x+y+z = 1
20k+10k+12k = 1
42k = 1
k = 1/42.
x = 20•1/42
x = 10/21.
y = 10•1/42
y = 5/21.
z = 12•1/42
z = 2/7.
Succes!
