A certain state legislature consists of 124 members, each of whom is either a Democrat or a Republican. If there are 18

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Vincen: Legendary Member; Posts: 2898; Joined: Thu Sep 07, 2017 2:49 pmFollowed by: 5 members; Thanked: 6 times

by Vincen » Wed Jan 12, 2022 9:21 am

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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

Answer: C

Source: GMAT Paper Tests

Source: Beat The GMAT — Problem Solving | Wed Jan 12, 2022 9:21 am

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16206; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

Re: A certain state legislature consists of 124 members, each of whom is either a Democrat or a Republican. If there are

by Brent@GMATPrepNow » Wed Jan 12, 2022 10:32 am

Vincen wrote: ↑
Wed Jan 12, 2022 9:21 am
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

Answer: C

Source: GMAT Paper Tests

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

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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