Notez cu s suma de bani.
[tex] \frac{1}{4} * s = \frac{s}{4} [/tex]
rest: s - [tex] \frac{s}{4} = \frac{3*s}{4} [/tex]
cheltuie apoi [tex] \frac{1}{6} * \frac{3s}{4} = \frac{s}{8} [/tex]
noul rest : s - [tex] \frac{s}{4} - \frac{s}{8} = \frac{5s}{8} [/tex] . [tex] \frac{1}{3} * \frac{5s}{8} = \frac{5s}{24} [/tex]
s- [tex] \frac{s}{4} - \frac{s}{8} - \frac{5s}{24} - 120 = 600[/tex]
[tex] \frac{24s-6s-3s-5s-120*24}{24} =600[/tex]
10s -120 * 24 = 600 *24
s = 1728
Verificare : 1728 : 4 = 432
rest: 1728 - 432 = 1296
1296 : 6 = 216
noul rest : 1728-432-216 = 1080
1080 : 3 = 360
Se mai cheltuie 120
1728 - 432 - 216 - 360 - 120 =600
