Question

Ma ajutati va rog frumos cu o problema la mate !!!!!!!!!! O pers a cheltuit o suma de bani astfel .... in prima zi 1 pe 6, a doua zi 0,(3)din rest , a treia zi 0,25 din noul rest si i-au ramas 81 lei. Aflati...
a) suma initiala........b)cati lei a cheltuit in fiecare zi ......c)ce procent reprezinta suma cheltuita in prima zi din suma cheltuita a doua zi.

Answer 1

x-suma initiala
I zi a cheltuit:           x-x/6=(6x-x)/6=5x/6
0,3=3/9=1/3
II zi a cheltuit:  5x/6-(5x/6)·1/3=5x/6-5x/18=(15x-5x)/18=10x/18=5x/9
0,25=25/100=1/4
III zi a cheltuit:   5x/9-(5x/9)·1/4=5x/9-5x/36=(20x-5x)/36=15x/36=5x/12
5x/12=81
x=(81·12)/5
x=194,4 lei   suma initiala

I zi a cheltuit: 1944/10x1/6=1944/60=32,4 lei
II zi a cheltuit: (194,4-32,4)x1/3=162/3=54 lei
III zi a cheltuit:  (194,4-32,4-54)x1/4=108/4=27 lei
verificare
194,4-32,4-54-27=81 lei ramane
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