Răspuns :
Răspuns:
3x/2 =5y/3=2z/5=k → coeficient de proportionalitate
x=2/3k
y=3/5k
z=5/2k
x+y+z=226
¹⁰⁾2/3k+⁶⁾3/5k+¹⁵⁾5/2k=³⁰⁾226
20k+18k+75k=6780
113k=6780=>k=6780:113=>k=60
x=(2·60)/3=40
y=(3·60)/5=36
z=(5·60)/2=150
[tex] \frac{3x}{2} = \frac{5y}{3} = \frac{2z}{5} x + y + z = 226[/tex]
[tex]x = \frac{452}{3} = 150 \frac{2}{3} [/tex]
[tex]y = \frac{678}{5} = 135 \frac{3}{5} [/tex]
[tex]z = \frac{1356}{919} = 1 \frac{437}{919} [/tex]
Sper ca ti-am fost de folos. Succes!!!