x-nr lazi culese de ion
y- nr lazi culese de costel
z-nr lazi culese de cristian
[tex] x= \frac{2}{7} y = > y = \frac{7x}{2} [/tex]
[tex]x = 3z = > z = \frac{x}{3} [/tex]
[tex]x + y + z = 290[/tex]
[tex]x + \frac{7x}{2} + \frac{x}{3} = 290 [/tex]
aducem la acelasi numitor
prima fractie se amplifica cu 6, a2a cu 3 si a3aa cu 2
[tex] \frac{6x}{6} + \frac{21x }{6} + \frac{2x}{6} = 290[/tex]
[tex] \frac{29x}{6} = 290 [/tex]
[tex]x = 290 \div \frac{29}{6} [/tex]
[tex]x = 290 \times \frac{6}{29} [/tex]
se simplifica 29 cu 290
[tex]x = 10 \times 6 \\ x = 60 \: lazi[/tex]
[tex]y = \frac{7x}{2} \\y = \frac{7 \times 60}{2} \\ y = 7 \times 30[/tex]
[tex]y =210 \: lazi[/tex]
[tex]z = \frac{x}{3} \\ z = \frac{60}{3} \\ z = 20 \: lazi[/tex]
verificare:
[tex]x + y + z = 290 \\ 60 + 210 + 20 = 290[/tex]
[tex]290 = 290[/tex]
