There are 780 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 choice from the following choices:  A) 130  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 780.   Hence, we have m+f= 780   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 = 780/3= 
<gadget id="calculator">780/3</gadget>
<output>260</output>
260   Solving the three equations yields the solution   f= 260,m= 520, and d= 260.   The number of female democratic participants equals half the female participants equals   260/2= 
<gadget id="calculator">260/2</gadget>
<output>130</output>
130.   130NSWER:130
<result>A</result>
There are 780 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?