• Free Veritas GMAT Class
Experience Lesson 1 Live Free

Available with Beat the GMAT members only code

• Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

• 5 Day FREE Trial
Study Smarter, Not Harder

Available with Beat the GMAT members only code

• Award-winning private GMAT tutoring
Register now and save up to \$200

Available with Beat the GMAT members only code

• 5-Day Free Trial
5-day free, full-access trial TTP Quant

Available with Beat the GMAT members only code

• Free Practice Test & Review
How would you score if you took the GMAT

Available with Beat the GMAT members only code

• Most awarded test prep in the world
Now free for 30 days

Available with Beat the GMAT members only code

• Free Trial & Practice Exam
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• Get 300+ Practice Questions

Available with Beat the GMAT members only code

• 1 Hour Free
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

## OG2015 PS In a certain city

This topic has 3 expert replies and 0 member replies
lionsshare Senior | Next Rank: 100 Posts
Joined
09 Aug 2017
Posted:
62 messages

#### OG2015 PS In a certain city

Wed Sep 13, 2017 3:23 am
In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 75 percent of the registered voters who are Democrats and 20 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are expected to vote for Candidate A ?

(A) 50%
(B) 53%
(C) 54%
(D) 55%
(E) 57%

OA: B

Hi, Experts! Please explain how to solve this problem. Many thanks.

### GMAT/MBA Expert

Jeff@TargetTestPrep GMAT Instructor
Joined
09 Apr 2015
Posted:
789 messages
Followed by:
11 members
39
Tue Sep 19, 2017 2:58 pm
lionsshare wrote:
In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 75 percent of the registered voters who are Democrats and 20 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are expected to vote for Candidate A ?

(A) 50%
(B) 53%
(C) 54%
(D) 55%
(E) 57%

OA: B
We are given that 60% of the voters are Democrats and the rest are Republicans. This means that 40% are Republicans. We also know that 75% of the voters who are Democrats and 20% of the voters who are Republicans are expected to vote for Candidate A.

The easiest way to solve this problem is to assume that the total number of registered voters is 100 (we could use other numbers, but 100 is an easy number to work with in percentage problems).

We know that 60% of the registered voters are Democrat and 40% are Republicans, so there are 60 Democrat registered voters and 40 Republican registered voters.

Now, since 75% of the 60 Democrat registered voters are expected to vote for Candidate A, we know that 0.75 x 60 = 45 Democrats are expected to vote for Candidate A. Similarly, because 20% of the 40 Republican registered voters are expected to vote for Candidate A, we know that 0.2 x 40 = 8 Republicans are expected to vote for Candidate A.

Thus, there are 45 + 8 = 53 voters expected to vote for Candidate A. Remember, we used 100 as the total number of voters, so this means that 53 out of 100, or 53% of the voters, are expected to vote for Candidate A.

_________________
Jeffrey Miller Head of GMAT Instruction

### GMAT/MBA Expert

Jay@ManhattanReview GMAT Instructor
Joined
22 Aug 2016
Posted:
976 messages
Followed by:
20 members
470
Wed Sep 13, 2017 10:23 pm
lionsshare wrote:
In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 75 percent of the registered voters who are Democrats and 20 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are expected to vote for Candidate A ?

(A) 50%
(B) 53%
(C) 54%
(D) 55%
(E) 57%

OA: B

Hi, Experts! Please explain how to solve this problem. Many thanks.
Percentage of voters that are registered voters for Democrats = 60%
Thus, the percentage of voters that are registered voters for Republicans = 100% - 60% = 40%

Percentage of registered voters for Democrats who voted for Candidate A = 75% of 60% = (75/100) x 60% = (3/4) x 60% = 45%

Percentage of registered voters for Republicans who voted for Candidate A = 20% of 40% = (20/100) x 40% = (1/5) x 40% = 8%

Percentage of total votes expected for Candidate A = 45% + 8% = 53%

Hope this helps!

-Jay
_________________
Manhattan Review GMAT Prep

Locations: New York | Jakarta | Nanjing | Berlin | and many more...

### GMAT/MBA Expert

Rich.C@EMPOWERgmat.com Elite Legendary Member
Joined
23 Jun 2013
Posted:
9201 messages
Followed by:
473 members
2867
GMAT Score:
800
Wed Sep 13, 2017 6:39 pm
Hi lionsshare,

We're told that 60 percent of the registered voters are Democrats and the rest are Republicans and that 75 percent of the registered voters who are Democrats and 20 percent of the registered voters who are Republicans are expected to vote for Candidate A. We're asked for the percent of the registered voters who are expected to vote for Candidate A. This question can be solved by TESTing VALUES.

IF.... there are 100 TOTAL voters, then...
60% = 60 are registered Democrats
100 - 60 = 40 are registered Republicans

75% of the 60 Democrats = 45
20% of the 40 Republicans = 8
45 + 8 = 53 of the 100 voters will vote for Candidate A.

GMAT assassins aren't born, they're made,
Rich

_________________
Contact Rich at Rich.C@empowergmat.com

### Best Conversation Starters

1 lheiannie07 108 topics
2 ardz24 67 topics
3 Roland2rule 63 topics
4 LUANDATO 52 topics
5 Vincen 51 topics
See More Top Beat The GMAT Members...

### Most Active Experts

1 GMATGuruNY

The Princeton Review Teacher

150 posts
2 Jeff@TargetTestPrep

Target Test Prep

114 posts
3 Rich.C@EMPOWERgma...

EMPOWERgmat

105 posts
4 Scott@TargetTestPrep

Target Test Prep

101 posts
5 Max@Math Revolution

Math Revolution

85 posts
See More Top Beat The GMAT Experts