Question

Nr. Naturale x,y,z sunt direct proportionale cu 0,1;0,2;0,3,iar 3x+2y+5z=110.Aflari numere.

Answer 1

x, y,z dp 0.1,0.2, 0.3⇒$\frac{x}{0.1}= \frac{y}{0.2} = \frac{z}{0.3}$=k⇒
x=0.1k
y=0.2k
z=0.3k
introducem in relatia data⇒3*0.1k+2*0.2k+5*0.3=110
0.3k+0.4k+1.5k=110
2.2k=110⇒k=50⇒a=0.1k=5, y=0.2k=10, z=0.3k=15