There are 870 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?	Pick:
A) 75
B) 100
C) 125
D) 175
E) 145
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 870.   Hence, we have m+f= 870   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 = 870/3= 
<gadget id="calculator">870/3</gadget>
<output>290</output>
290   Solving the three equations yields the solution   f= 290,m= 580, and d= 290.   The number of female democratic participants equals half the female participants equals   290/2= 
<gadget id="calculator">290/2</gadget>
<output>145</output>
145.   ANSW145R:145
<result>E</result>
There are 870 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?