There are 750 male and female participants in a meeting. Half the female participants and one-quarterof the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female?
(A)75
(B)100
(C)125
(D)175
(E)225

• Let m be the number of male participants and f be the number of female articipants in the meeting. Thetotal number of participants is given as 750.
  
  Hence, we have m+f= 750
  
  Now, we have that half the female participants and one-quarter of the male participants are Democrats.
  Let d equal the number of the Democrats.
  
  Then we have the equation f/2 + m/4 =d
  
  Now, we have that one-third of the total participants are Democrats. Hence, we have the equation
  
  d = 750/3 = 250
  Solving the three equations yields the solution
  
  f = 250,m= 500, and d= 250.
  The number of female democratic participants equals half the female participants equals
  250/2 = 125.
  The answer is (C).
• 12 years agoHelpfull: Yes(26) No(0)
• let female=x
  male =750-x
  given
  (x/2+(750-x)/4)=750/3
  x=125
• 12 years agoHelpfull: Yes(17) No(3)
• given 1/3rd of participants i,e (1*750)/3=250 are democrats.
  since female participants are half it is f/2.
  and male participants are quarter it is m/4.
  so (f/2)+(m/4)=250.
  i,e 2f+m=1000.
  and f+m=750.
  solving we get f=250 m=500.
  since female participants are f/2 i,e 250/2=125.
  so ans is c 125,
  
• 12 years agoHelpfull: Yes(2) No(3)
• answer 125
• 12 years agoHelpfull: Yes(0) No(8)
• 125 should be d answer..
  We can form 2 equations as M+F=T ie tota no of participants.
  Which gives as Eq 1- M+f=750
  and den as given well have 1/2(F)+1/4(M)=1/3(T)
  Hence Eq 2 becomes 2F+M=1000
  Solving the 2 2Eqs we get F=250 thus democrates of F=250/2=125
  Solve the two eqautions
• 11 years agoHelpfull: Yes(0) No(0)
• i won't explain 125
• 8 years agoHelpfull: Yes(0) No(2)
• total participants =750
  democrats are 1/3 from total participants=>750/3=250
  in question they have asked only about female democrats so 250/2=125
  because half of female participants so f/2
  ans=125
• 6 years agoHelpfull: Yes(0) No(0)