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A certain state legislature consists of 124 members, each of whom is

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A certain state legislature consists of 124 members, each of whom is  [#permalink]

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New post Updated on: 02 Nov 2018, 01:23
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Question Stats:

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A certain state legislature consists of 124 members, each of whom is either a Democrat or a Republican. If there are 18 more Republicans than Democrats, how many Republicans are in the legislature?

(A) 44
(B) 53
(C) 71
(D) 80
(E) 106

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Originally posted by pushpitkc on 02 Nov 2018, 01:18.
Last edited by Bunuel on 02 Nov 2018, 01:23, edited 1 time in total.
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Re: A certain state legislature consists of 124 members, each of whom is  [#permalink]

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New post 02 Nov 2018, 04:53
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pushpitkc wrote:
A certain state legislature consists of 124 members, each of whom is either a Democrat or a Republican. If there are 18 more Republicans than Democrats, how many Republicans are in the legislature?

(A) 44
(B) 53
(C) 71
(D) 80
(E) 106


There are 18 more Republicans than Democrats
Let x = the number of Democrats
So, x + 18 = the number of Republicans

A certain state legislature consists of 124 members, each of whom is either a Democrat or a Republican
So, (the number of Democrats) + (the number of Republicans ) = 124
In other words: x + (x + 18) = 124
Simplify: 2x +18 = 124
We get: 2x = 106
Solve: x = 53

So, there are 53 Democrats, which means there are 71 Republicans

Answer: C

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Brent
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Re: A certain state legislature consists of 124 members, each of whom is  [#permalink]

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New post 03 Nov 2018, 16:58
pushpitkc wrote:
A certain state legislature consists of 124 members, each of whom is either a Democrat or a Republican. If there are 18 more Republicans than Democrats, how many Republicans are in the legislature?

(A) 44
(B) 53
(C) 71
(D) 80
(E) 106


We can create the equations:

R + D = 124

And

R - 18 = D

Thus:

R + R - 18 = 124

2R = 142

R = 71

Answer: C
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Re: A certain state legislature consists of 124 members, each of whom is &nbs [#permalink] 03 Nov 2018, 16:58
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