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In the recent electoral polls, 15% of the voter turnout were under the

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In the recent electoral polls, 15% of the voter turnout were under the  [#permalink]

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New post Updated on: 15 Jul 2018, 20:50
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In the recent electoral polls, 15% of the voter turnout were under the age of 30 and were females. If 50% of the voter turnout under the age of 30 were not females, what percent of the voter turnout under the age of 30?

A) 25%
B) 30%
C) 45%
D) 57%
E) 65%

Originally posted by ssp4all on 15 Jul 2018, 20:47.
Last edited by Bunuel on 15 Jul 2018, 20:50, edited 1 time in total.
Added option E.
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In the recent electoral polls, 15% of the voter turnout were under the  [#permalink]

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New post 15 Jul 2018, 21:34
ssp4all wrote:
In the recent electoral polls, 15% of the voter turnout were under the age of 30 and were females. If 50% of the voter turnout under the age of 30 were not females, what percent of the voter turnout under the age of 30?

A) 25%
B) 30%
C) 45%
D) 57%
E) 65%



Make a matrix..
..............M ......F........total
<30......t/2_.....15...t

So t/2+15=t......t/2=15....t=30%


Also if 50% are not females, the other 50% will be females and this is 15%of Total
So total will be 15*2=30%

STEP by STEP ( say there are 100 voters)
1) 15% of the voter turnout were under the age of 30 and were females.... so 15 voters are BOTH <30 and F.
2)50% of the voter turnout under the age of 30 were not females,..say Total voters <30 be x, so x/2 are males and x/2 are females
3) but we know that BOTH <30 and F =15=x/2...x=30
so 30% of total

see attached diagram
ssp4all please refer your below post

B
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2.png
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In the recent electoral polls, 15% of the voter turnout were under the  [#permalink]

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New post 15 Jul 2018, 21:49
chetan2u
Sorry, but can u explain in more detail stepwise. It will be really very helpful :-)
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In the recent electoral polls, 15% of the voter turnout were under the  [#permalink]

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New post 15 Jul 2018, 23:53
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Let The total number of people who voted be = T.

The number of people under of age of 30 who voted be = X.

Now given that 50% of people under the age of 30 were not females, which means 50% of the people under the age of 30 who voted were females.
Thus number of females under age 30 = 50/100 * X
= 0.5 X

Now we also know that the relation between total number and the number of females under 30 years who voted is = 15% of T
= 0.15 T

These two numbers are equal
0.15T = 0.5 X

X/T = 0.15/0.5

X/T = 3/10

X/T = 30/100

therefore % of people who voted and were under 30 years of age = 30% of T
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In the recent electoral polls, 15% of the voter turnout were under the &nbs [#permalink] 15 Jul 2018, 23:53
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