Question
In a college, 20% of the students are ineligible to vote.
Among the eligible voters, 45% are girls. During the election, one-third of the eligible girl voters and four-elevenths of the eligible boy voters participated in the voting. What is the ratio of the number of boys to girls who cast their vote in the college election?Solution
ATQ,
Let the number of students in the city be '100n'
Number of students eligible for voting = 0.8 X 100n = '80n'
Number of eligible girls voters = 0.45 X 80n = '36n'
Number of eligible boys voters = 80n - 36n = '44n'
Number of boys who vote = (4/11) X 44n = '16n'
Number of girls who vote = (1/3) X 36n = '12n'
Required ratio = 16n:12n = 4:3
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