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

##### This topic has expert replies
Legendary Member
Posts: 2898
Joined: 07 Sep 2017
Thanked: 6 times
Followed by:5 members

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

by Vincen » Wed Jan 12, 2022 9:21 am

00:00

A

B

C

D

E

## Global Stats

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

Source: GMAT Paper Tests

### GMAT/MBA Expert

GMAT Instructor
Posts: 16068
Joined: 08 Dec 2008
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
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 [email protected] » 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

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