Posted by: arushi on 30.12.2017
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Let m be the number of male participants and f be the number of female participants in the meeting. The total 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 = 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 = 125
Let no of females be x & no of males be y.
x + y = 750 -------- (1)
x/2 + y/4 = 750/3
2x + y = 1000 --------- (2)
From (1)& (2),
x = 250
No. female democrats = x/2 = 250/2 = 125
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Let X represents the male participants in a meeting.
Let Y represents the female participants in a meeting.
Given: X + Y = 750. - (A)
Third statement in the question: 1 / 3 of all the participants are Democrats
which implies (1 / 3) multiplied by 750 = 250.
This means: the total number of DEMOCRATS= 250.
Also given: Half the female participants and 1 / 4 of male are Democrats.
This implies: (X / 4) + (Y / 2) = 250
Therefore, X + 2Y = 1000 - (B)
Now Subtracting (A) from (B) implies: X + 2Y - X -Y = 1000 - 750
Y = 250
This represents - The total number of the female participants in a meeting are 250. According to the given statement above half the female participants are DEMOCRATS. 125 Democrats are female.
Get 5 credit points for each correct answer. The best one gets 25 in all.
