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se se imparta numarul 38 in parti invers proportionale cu numerele 2/3,1/6 si 1/2

Răspuns :

x/[1/(2/3)]=k  x=3k/2
y/[1/(1/6)]=k  y=6k
z/[1/(1/2)]=k  y=2k

x+y+z=38
3k/2+6k+2k=38
3k+12k+4k=76
19k=76
k=4
x=3k/2 =3×4/2=6
y=6k=6×4=24
y=2k =2×4=8