Question

Stiind ca x,y,z sunt direct proportionale cu 4/5,5/2,3/4 si x+y+z=1, aflati x,y,z..

Answer 1

{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!