There are 840 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) 140
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 840.   Hence, we have m+f= 840   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 = 840/3= 
<gadget id="calculator">840/3</gadget>
<output>280</output>
280   Solving the three equations yields the solution   f= 280,m= 560, and d= 280.   The number of female democratic participants equals half the female participants equals   280/2= 
<gadget id="calculator">280/2</gadget>
<output>140</output>
140.   ANSWER:140
<result>D</result>
There are 840 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?