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In a country, 60% of the male citizen and 70% of the female
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21 Mar 2019, 12:08
21 Mar 2019, 12:08
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In a country, 60% of the male citizen and 70% of the female citizen are eligible to vote. 70% of male citizens eligible to vote voted, and 60% of female citizens eligible to vote voted. What fraction of the citizens voted during the election?
(A) 0.42
(B) 0.48
(C) 0.49
(D) 0.54
(E) 0.60
(A) 0.42
(B) 0.48
(C) 0.49
(D) 0.54
(E) 0.60
Re: In a country, 60% of the male citizen and 70% of the female
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22 Mar 2019, 09:32
22 Mar 2019, 09:32
1
Let the total citizens equal 100.
50 are male citizens and the remaining 50 are female citizens
Males eligible to vote = 50 * 60% = 30
Of the 30 males eligible to vote 70% voted = 30 * 70% = 21
Females eligible to vote = 50 * 70% = 35
of the 35 females eligible to vote 60% voted = 35 * 60% = 21
21 + 21 = 42 (total number of people who voted)
42 ÷ 100(total no of citizens) = 0.42
Answer= A
50 are male citizens and the remaining 50 are female citizens
Males eligible to vote = 50 * 60% = 30
Of the 30 males eligible to vote 70% voted = 30 * 70% = 21
Females eligible to vote = 50 * 70% = 35
of the 35 females eligible to vote 60% voted = 35 * 60% = 21
21 + 21 = 42 (total number of people who voted)
42 ÷ 100(total no of citizens) = 0.42
Answer= A
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Re: In a country, 60% of the male citizen and 70% of the female
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22 Mar 2019, 11:03
22 Mar 2019, 11:03
1
Carcass wrote:
In a country, 60% of the male citizen and 70% of the female citizen are eligible to vote. 70% of male citizens eligible to vote voted, and 60% of female citizens eligible to vote voted. What fraction of the citizens voted during the election?
(A) 0.42
(B) 0.48
(C) 0.49
(D) 0.54
(E) 0.60
(A) 0.42
(B) 0.48
(C) 0.49
(D) 0.54
(E) 0.60
We can also solve this using algebra.
Let M = the TOTAL number of males in the country
Let F = the TOTAL number of females in the country
So, the TOTAL population = M + F
60% of the male citizen and 70% of the female citizen are eligible to vote.
0.6M = number ELIGIBLE male voters
0.7F = number ELIGIBLE female voters
70% of male citizens eligible to vote voted, and 60% of female citizens eligible to vote voted.
Number of males who actually VOTED = 70% of 0.6M = 0.7(0.6M) = 0.42M
Number of females who actually VOTED = 60% of 0.7F = 0.6(0.7F) = 0.42F
What fraction of the citizens voted during the election?
Fraction = (number of people who actually VOTED)/(TOTAL population)
= (0.42M + 0.42F)/(M + F)
= (0.42)(M + F)/(M + F)
= 0.42
Answer: A
Cheers,
Brent
