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In a school election, each of the 900 voters voted for either Edith or
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07 Nov 2023, 10:42
07 Nov 2023, 10:42
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88% (02:00) correct
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In a school election, each of the 900 voters voted for either Edith or Jose or both. 60 percent of the female voters voted for Edith. If 20 percent of the female voters voted for both candidates, what percent of the female voters in this election voted only for Jose?
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40
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In a school election, each of the 900 voters voted for either Edith or
[#permalink]
14 Nov 2023, 18:46
14 Nov 2023, 18:46
2
So based on Venn-diagram we can write Total = % of female voters voting for Only Edith + % of female voters voting for Only Jose + % of female voters voting for Both + Neither - (Eqn1)
Here Neither = 0 since the question says that each of the 900 voters voted for either Edith or Jose or both
Now % of female voters voting for Edith = % of female voters voting for Only Edith + Both --> 60 = % of female voters voting for Only Edith + 20 --> % of female voters voting for Only Edith = 60 - 20 = 40
Thus we can consider the Total to be 100% and write Eqn 1 as 100 = 40 + % of female voters voting for Only Jose + 20 + 0 --> % of female voters voting for Only Jose = 100 - 40-20 = 40%
Here Neither = 0 since the question says that each of the 900 voters voted for either Edith or Jose or both
Now % of female voters voting for Edith = % of female voters voting for Only Edith + Both --> 60 = % of female voters voting for Only Edith + 20 --> % of female voters voting for Only Edith = 60 - 20 = 40
Thus we can consider the Total to be 100% and write Eqn 1 as 100 = 40 + % of female voters voting for Only Jose + 20 + 0 --> % of female voters voting for Only Jose = 100 - 40-20 = 40%
Re: In a school election, each of the 900 voters voted for either Edith or
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10 Oct 2025, 07:52
10 Oct 2025, 07:52
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