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?  Choose the correct answer:
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= 
<gadget id="calculator">750/3</gadget>
<output>250</output>
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= 
<gadget id="calculator">250/2</gadget>
<output>125</output>
125.   ANSWER:125
<result>C</result>
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?