## Of the votes cast on a certain proposal, 80 more were in favor of the proposal than were against it. If the number of

##### This topic has expert replies
Legendary Member
Posts: 823
Joined: 01 Mar 2018
Followed by:2 members

### Of the votes cast on a certain proposal, 80 more were in favor of the proposal than were against it. If the number of

by Gmat_mission » Wed Sep 23, 2020 5:39 am

00:00

A

B

C

D

E

## Global Stats

Of the votes cast on a certain proposal, 80 more were in favor of the proposal than were against it. If the number of votes against the proposal was 40 percent of the total vote, what was the total number of votes cast? (Each vote cast was either in favor of the proposal or against it).

(A) 480
(B) 400
(C) 300
(D) 240
(E) 160

Source: Princeton Review

Legendary Member
Posts: 1975
Joined: 02 Mar 2018
Followed by:4 members

### Re: Of the votes cast on a certain proposal, 80 more were in favor of the proposal than were against it. If the number o

by deloitte247 » Fri Sep 25, 2020 7:04 pm
Let total votes cast = t
Votes against the proposal = 40% of t = 0.4t
Votes in favour = 0.4t + 80
t = 0.4t + 0.4t + 80
t = 0.8t + 80
t - 0.8t = 80
0.2t = 80
$$t=\frac{80}{0.2}=400$$

### GMAT/MBA Expert

GMAT Instructor
Posts: 5549
Joined: 25 Apr 2015
Location: Los Angeles, CA
Thanked: 43 times
Followed by:24 members

### Re: Of the votes cast on a certain proposal, 80 more were in favor of the proposal than were against it. If the number o

by Scott@TargetTestPrep » Mon Sep 28, 2020 12:32 pm
Gmat_mission wrote:
Wed Sep 23, 2020 5:39 am
Of the votes cast on a certain proposal, 80 more were in favor of the proposal than were against it. If the number of votes against the proposal was 40 percent of the total vote, what was the total number of votes cast? (Each vote cast was either in favor of the proposal or against it).

(A) 480
(B) 400
(C) 300
(D) 240
(E) 160

Solution:

We can let n = the total number of votes. Thus, 0.4n votes were against the proposal, and 0.6n votes were in favor of the proposal. We can create the equation:

0.6n - 0.4n = 80

0.2n = 80

n = 80/0.2 = 800/2 = 400