It is currently 22 Jul 2019, 09:01

### 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

# GRE Math Challenge #79-developer has land that has x feet of

 Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 123

Kudos [?]: 1975 [0], given: 397

GRE Math Challenge #79-developer has land that has x feet of [#permalink]  03 May 2015, 01:43
Expert's post
00:00

Question Stats:

100% (00:52) correct 0% (00:00) wrong based on 2 sessions
A developer has land that has x feet of lake frontage. The land is to be subdivided into lots, each of which is to have either 80 feet or 100 feet of Lake Frontage. If (1/9) of the lots are to have 80 feet of frontage each and the remaining 40 lots are to have 100 feet of frontage each, what is the value of x?

(A) 400
(B) 3,200
(C) 3,700
(D) 4,400
(E) 4,760
[Reveal] Spoiler: OA

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Director
Joined: 20 Apr 2016
Posts: 948
WE: Engineering (Energy and Utilities)
Followers: 13

Kudos [?]: 709 [0], given: 152

Re: GRE Math Challenge #79-developer has land that has x feet of [#permalink]  14 Dec 2017, 05:08
sandy wrote:
A developer has land that has x feet of lake frontage. The land is to be subdivided into lots, each of which is to have either 80 feet or 100 feet of Lake Frontage. If (1/9) of the lots are to have 80 feet of frontage each and the remaining 40 lots are to have 100 feet of frontage each, what is the value of x?

(A) 400
(B) 3,200
(C) 3,700
(D) 4,400
(E) 4,760

Here
First we need to find the total Lots after that we can find the value of x

Let total lots = P
lots with 80 feet = $$\frac{1}{9}$$

SO the lots with 100 feet = $$\frac{8}{9}$$

Therefore lots for 100 feet = $$\frac{8}{9} * p$$ = 40 (since the remaining 40 plot are to have 100 feet)

or p = 45 lots

Now Total feet x = total lot for 80 feet + total lot for 100 feet

= $${(\frac{1}{9} * 45) * 80}$$ $$+$$ $${(\frac{8}{9} * 45) * 100}$$ = 4400
_________________

If you found this post useful, please let me know by pressing the Kudos Button

Rules for Posting https://greprepclub.com/forum/rules-for ... -1083.html

Re: GRE Math Challenge #79-developer has land that has x feet of   [#permalink] 14 Dec 2017, 05:08
Display posts from previous: Sort by

# GRE Math Challenge #79-developer has land that has x feet of

 Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.