There are 720 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?	Select the correct option.
A) 75 B) 100 C) 120 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 720.   Hence, we have m+f= 720   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 = 720/3= 
<gadget id="calculator">720/3</gadget>
<output>240</output>
240   Solving the three equations yields the solution   f= 240,m= 480, and d= 240.   The number of female democratic participants equals half the female participants equals   240/2= 
<gadget id="calculator">240/2</gadget>
<output>120</output>
120.   ANSWER:120
<result>C</result>
There are 720 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?