Question

Aflati a,b,c stiind ca sunt proportionale cu 0.5 cu 0.2 si cu 0.(3) si a+b+c=930
REPEDE VA ROG

Answer 1

a+b+c =930
0.5 =5/10 =1/2
0.2 =2/10 =1/5
0.(3) =3*9 =1/3
  
 a          b       c
---- =   ----  = ------  
1/2      1/5     1/3
  
a        b         c
---- +----- +  -----  =  k
1/2   1/5        1/3

a       
--- = k      a =k/2
1/2
b
----  =  k      b =k/5
1/5
  c
----   =k        c =k/3
1/3
k/2+k/5+k/3 =930     numitor 30
15k+6k+10k =27900
31l =27900
k =900
a=2k =900/2 =450
b =k/5 =900/5 =180
c =k/3 =900/3 =300
v ;    450+180+300 =930