Question

Va rog!
Un grup de excursionisti isi propune sa parcurga un traseu turistic montan. In prima zi parcurg 2/6 din drum. A doua zi parcurg un sfert din drumul ramas. In a treia zi au parcurs 12 km.
a) Reprezinta grafic traseul parcurs de turisti!
b) Cati km are traseul turistic?
c) Cati km au parcurs turistii in prima zi?
d) Cati km au parcurs turistii a doua zi?

Answer 1

X-traseul ce trebuie parcurs
I zi : 2/6·x=2x/6 simplificam cu 2=x/3
II zi: 1/4(x-x/3)=1/4·2x/3=2x/12 simplificam cu 2=x/6
III zi: 12 km
x=x/3+x/6+12
x-x/3-x/6=12 aducem la acelasi numitor
(6x-2x-x)/6=12
3x/6=12
3x=6·12
x=72/3
x=24 km
trebuia parcurs un traseu de 24 km
verificare
I zi    : 2/6·24=2·24/6=8 km
II zi:    1/4 din traseul ramas adica 24-8=16 deci 1/4 din 16km
          16/4= 4 km
III zi:   12  km
8+4+12=24 km

Answer 2

x-traseul
I  $\frac{2}{6}*x=\frac{1}{3}*x$
II  $\frac{1}{4}*(x- \frac{2}{6} x)= \frac{1}{4} * \frac{4}{6}x= \frac{1}{6}x$
III 12
$b) x= \frac{1}{3} x+ \frac{1}{6}x+12=>x= \frac{3}{6} x+12=>x= \frac{1}{2} x+12=>x- \frac{1}{2}x=12 \\ => \frac{1}{2} x=12=>x=2*12=>x=24$
$c) \frac{1}{3} x= \frac{1}{3}*24=8$
$d) \frac{1}{6}*x= \frac{1}{6}*24=4$
PROBA: 12+8+4=24 ADEVARAT