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Dintr-un balot de panza s-a vandut in prima zi [tex] \frac{1}{4} [/tex] din el, a doua zi [tex] \frac{1}{3} [/tex] din el , a treia zi [tex] \frac{1}{2} [/tex] din cat s-a vandut a doua zi , si au mai ramas 12 m. Cati metrii are balotul ?

Răspuns :

[tex]I. \frac{1}{4}x= \frac{x}{4} \\ \\ II. \frac{1}{3}x= \frac{x}{3} \\ \\ III. \frac{1}{2}*\frac{x}{3}= \frac{x}{8} \\ \\ IV.12~m \\ \\ \frac{x}{4}+ \frac{x}{3}+ \frac{x}{6}+12=x \\ \\ \frac{3x}{12}+ \frac{4x}{12}+ \frac{2x}{12}+ \frac{144}{12}= \frac{12x}{12}|*12 \\ \\ 9x+144=12x \\ \\ 3x=144 \\ \\ x=48~m[/tex]
x/4 = m vanduti 1 zi
x/3 = m vanduti a 2-a zi
(x/3 )/2 =x/6 m vanduti a 3-a zi
x= x/4+x/3+x/6+12
12x=3x+4x+2x+144
3x=144
x=48 m