a+b+c+d=2196
a_________100%
b_________60%
b=[tex] \frac{60a}{100} = \frac{3a}{5} [/tex]
b_________100%
c_________80%
c=[tex] \frac{80b}{100} = \frac{4b}{5} = \frac{4* \frac{3a}{5} }{5} = \frac{12a}{25} [/tex]
c_________100%
d_________75%
d=[tex] \frac{75c}{100} = \frac{ \frac{12a}{25}*75 }{100}= \frac{9a}{25} [/tex]
a+b+c+d=[tex]a+ \frac{3a}{5} + \frac{12a}{25} + \frac{9a}{25} = \frac{25a+15a+12a+9a}{25} = \frac{61a}{25} [/tex]
[tex]\frac{61a}{25} [/tex]=2196
61a=2196*25
a=900
b=[tex] \frac{3*900}{5}=540 [/tex]
c=[tex] \frac{4*540}{5} =432[/tex]
d=[tex] \frac{3*432}{4} =324[/tex]
Verificare: 900+540+432+324=2196
a.) 900_______100%
324_______x%
x=[tex] \frac{324*100}{900} =36[/tex]
b.) a=900
b=540
c=432
d=324
