Răspunsuri

2014-07-25T10:14:02+03:00
Fie x-suma de bani
y=restul
z-noul rest
x-1/4x=y
y-1/6y=z
z-1/3*z-120=600
z-1/3*z=600+120
Amplificam z cu 3 ca sa aducem la acelasi numitor
(3z-z)/3=720
2z=720*3
2z=2160
z=2160/2=1080 lei
y-1/6*y=1080
6y-y/6=1080
5y=1080*6
5y=6480
y=6480/5
y=1296 lei
x-1/4*x=1296
3x/4=1296
3x=1296*4
3x=5184
x=5184/3
x=1728 lei

3 3 3
2014-07-25T11:43:02+03:00
X-suma initiala

1/4 din x= 1/4 * x=  x/4 -prima data

x-x/4=  (4x-x)/4=  3x/4 -restul 

1/6 din 3x/4=  1/6 * 3x/4= 1/2 *x/4= x/8 -a doua oara

3x/4- x/8= (6x-x)/8=  5x/8- noul rest 

1/3 din 5x/8 +120 = 1/3 * 5x/8= 5x/24 +120  -a treia oara

5x/8 -5x/24 -120= (15x-5x-2880)/24= (10x-2880)/24 -noul nou rest

(10x-2880)/24=600

10x-2880=600*24

10x-2880=14400

10x=14400+2880

10x=17280

x=1728