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a fost răspuns

daca cheltuiesc jumatate din sfertultreimeii sumeide bani pe care o am raman cu 230 lei.ce suma de bani am? (r :240lei)

Răspuns :

x este suma de bani.
x-(1/2)*[(1/4)*(1/3)*x]=230
(1/2)*[(1/4)*(1/3)*x]=x-230
(1/4)*(1/3)*x=2x-460
(1/3)*x=8x-1840
x=24x-5520
23x=5520
x=240




x= suma initiala

[tex] \dfrac12\cdot\dfrac14\cdot\dfrac13\cdot x+230=x[/tex]

[tex]\dfrac{x}{24}+230=x[/tex]

[tex]x+230\cdot24=24x[/tex]

[tex]23x=230\cdot24[/tex]

[tex]x=240\ lei[/tex]