Question

Va rog 6,7.
Dacă puteți sa mă ajutați pana la 11 ❤️

Answer 1

6.

$\frac{2*x}{3}=\frac{3*y}{5}=\frac{5*z}{4}=k$

$2*x=3*k => x=\frac{3*k}{2}$

$3*y=5*k => y=\frac{5*k}{3}$

$5*z=4*k => z=\frac{4*k}{5}$

$x+y+z=1 => \frac{3*k}{2}+\frac{5*k}{3}+\frac{4*k}{5}=1$

$\frac{45*k}{30}+\frac{50*k}{30}+\frac{24*k}{30}=1$

$\frac{119*k}{30}=1 => k=\frac{30}{119}$

$x=\frac{3*k}{2} => x=\frac{3*30}{2*119} => x=\frac{45}{119}$

$y=\frac{5*k}{3} => y=\frac{5*30}{3*119} => y=\frac{50}{119}$

$z=\frac{4*k}{5} => z=\frac{4*30}{5*119} => z=\frac{24}{119}$

7.

$\frac{a}{5}=\frac{b}{11}=\frac{c}{9}=k$

$a=5*k$

$b=11*k$

$c=9*k$

$4*a+3*b+2*c=284 => 20*k+33*k+18*k=284 => 71*k=284 => k=4$

$a=5*k => a=5*4 => a=20$

$b=11*k => b=11*4 => b=44$

$c=9*k => c=9*4 => c=36$