x•2,5=y•0,5=5z
x+y+z=78
[tex]2.5 \times x = 0.5 \times y = 5z[/tex]
[tex] = > y = \frac{2.5x}{0.5} = 5x[/tex]
[tex] = > z = \frac{2.5x}{5} = 0.5x[/tex]
[tex]x + 5x + 0.5x = 78[/tex]
[tex]6.5x = 78[/tex]
[tex]x = \frac{78}{6.5} = 12[/tex]
[tex]y = 5x = 5 \times 12 = 60[/tex]
[tex]z = 0.5x = 0.5 \times 12 = 6[/tex]