It is currently 23 Feb 2018, 08:12

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# The ratio of trees to benches in a park is 4 to 1. If adding ten more

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 43893
The ratio of trees to benches in a park is 4 to 1. If adding ten more [#permalink]

### Show Tags

28 Sep 2016, 01:55
1
KUDOS
Expert's post
1
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

87% (00:52) correct 13% (00:54) wrong based on 89 sessions

### HideShow timer Statistics

The ratio of trees to benches in a park is 4 to 1. If adding ten more benches in the park changes the ratio to 4 to 3, how many trees are there in the park?

A. 5
B. 10
C. 15
D. 20
E. 25
[Reveal] Spoiler: OA

_________________
Math Expert
Joined: 02 Aug 2009
Posts: 5660
Re: The ratio of trees to benches in a park is 4 to 1. If adding ten more [#permalink]

### Show Tags

28 Sep 2016, 03:34
1
KUDOS
Expert's post
Bunuel wrote:
The ratio of trees to benches in a park is 4 to 1. If adding ten more benches in the park changes the ratio to 4 to 3, how many trees are there in the park?

A. 5
B. 10
C. 15
D. 20
E. 25

Multiply initial ratio by a variable to convert these ratios to numbers..
So # of trees and # of benches are 4x and x..
Add 10 benches so x+10..

New ratio= 4/3 = 4x/(x+10)......
4x+40=12x......8x=40.....x=5

Number of trees is 4x or 4*5=20

D
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

BANGALORE/-

Intern
Joined: 23 Jun 2016
Posts: 42
Re: The ratio of trees to benches in a park is 4 to 1. If adding ten more [#permalink]

### Show Tags

28 Sep 2016, 15:12
1
KUDOS
You can do this by plugging in the answer choices

if 10 trees then 2 Benches (4:1) now we add 10 benches new ratio is (10:12) - Not correct

Then we jump to D since number of trees must be higher

if 20 trees then 5 benches (4:1) and now we add 10 benches so new ratio is 20:15 (4:3) correct
Intern
Joined: 18 Sep 2016
Posts: 49
The ratio of trees to benches in a park is 4 to 1. If adding ten more [#permalink]

### Show Tags

29 Sep 2016, 08:25
1
KUDOS
Bunuel wrote:
The ratio of trees to benches in a park is 4 to 1. If adding ten more benches in the park changes the ratio to 4 to 3, how many trees are there in the park?

A. 5
B. 10
C. 15
D. 20
E. 25

Originally $$\frac{T}{B} = \frac{4x}{x}$$

if we add 10benches=====> $$\frac{4x}{(x+10)}=\frac{4}{3}$$ ======> $$x=5$$

the number of trees is $$4x=4*5=20$$

_________________

Please press Kudos if you like my post

Intern
Joined: 16 Jun 2016
Posts: 2
Re: The ratio of trees to benches in a park is 4 to 1. If adding ten more [#permalink]

### Show Tags

02 Oct 2016, 00:20
1
KUDOS
The ratio of trees to benches in a park is 4 to 1
T : B = 4 : 1
so, T = 4B

Also,adding ten more benches in the park changes the ratio to 4 to 3 changes the ratio to -
T : B + 10 = 4 : 3
3T= 4(B+ 10)
3T= 4B + 40

replacing 4B= T from first equation

3T= T + 40
hence, T= 20

D
Senior Manager
Joined: 05 Jan 2017
Posts: 434
Location: India
Re: The ratio of trees to benches in a park is 4 to 1. If adding ten more [#permalink]

### Show Tags

27 Feb 2017, 03:47
Let number of tree be 4x and benches be x
According to question 4x/(x+10) = 4/3. After solving, we get x = 5. Number of trees= 4x = 20. Option D
Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2016
Re: The ratio of trees to benches in a park is 4 to 1. If adding ten more [#permalink]

### Show Tags

01 Mar 2017, 17:26
1
KUDOS
Expert's post
Bunuel wrote:
The ratio of trees to benches in a park is 4 to 1. If adding ten more benches in the park changes the ratio to 4 to 3, how many trees are there in the park?

A. 5
B. 10
C. 15
D. 20
E. 25

We are given that the ratio of trees to benches in a park is 4 to 1, or trees : benches = 4x : x

Since when 10 benches are added to the park the ratio becomes 4 to 3, we can create the following equation to determine x:

(4x)/(x + 10) = 4/3

12x = 4(x + 10)

3x = x + 10

2x = 10

x = 5

Thus, there are 4 x 5 = 20 trees in the park.

_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3326
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
Re: The ratio of trees to benches in a park is 4 to 1. If adding ten more [#permalink]

### Show Tags

02 Mar 2017, 07:03
Bunuel wrote:
The ratio of trees to benches in a park is 4 to 1. If adding ten more benches in the park changes the ratio to 4 to 3, how many trees are there in the park?

A. 5
B. 10
C. 15
D. 20
E. 25

$$\frac{4x}{x + 10} = \frac{4}{3}$$

Or, $$12x + 4x = 40$$

Or, $$8x = 40$$

So, $$x = 5$$

So, No of trees will be 4*5 = 20

Thus, answer will be (D) 20
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Re: The ratio of trees to benches in a park is 4 to 1. If adding ten more   [#permalink] 02 Mar 2017, 07:03
Display posts from previous: Sort by

# The ratio of trees to benches in a park is 4 to 1. If adding ten more

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.