It is currently 24 Nov 2020, 09:32
My Tests

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Dwayne planted 70 acres with two types of beans: navy and pi

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Retired Moderator
User avatar
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 175

Kudos [?]: 3033 [0], given: 394

Dwayne planted 70 acres with two types of beans: navy and pi [#permalink] New post 14 Jun 2018, 14:26
Expert's post
00:00

Question Stats:

77% (02:12) correct 22% (02:07) wrong based on 27 sessions
Dwayne planted 70 acres with two types of beans: navy and pinto. Each acre of navy beans yielded 27 bushels and each acre of pinto beans yielded 36 bushels. If Dwayne grew twice as many bushels of pinto beans as navy beans, how many acres of pinto beans did he plant?

(A) 28
(B) 30
(C) 35
(D) 40
(E) 42
[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

1 KUDOS received
Retired Moderator
User avatar
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 175

Kudos [?]: 3033 [1] , given: 394

Re: Dwayne planted 70 acres with two types of beans: navy and pi [#permalink] New post 05 Jul 2018, 06:49
1
This post received
KUDOS
Expert's post
Explanation

This question is difficult to translate. Begin by finding two things that are equal, and build an equation around that equality. Dwayne grew twice as many bushels of pinto beans as navy beans:

2(bushels of navy beans) = (bushels of pinto beans)

Break that down further:
bushels of navy beans = acres of navy beans × bushels per acre of navy beans
bushels of pinto beans = acres of pinto beans × bushels per acre of pinto beans

So:
2(acres of navy beans × bushels per acre of navy beans) = (acres of pinto beans × bushels per acre of pinto beans)

“Each acre of navy beans yielded 27 bushels and each acre of pinto beans yielded 36 bushels”:

2 × 27 × (acres of navy beans) = 36 × (acres of pinto beans)

Number of acres planted with pinto beans = p
Number of acres planted with navy beans = 70 – p
2 × 27(70 – p) = 36p
54(70 – p) = 36p
3,780 – 54p = 36p
3,780 = 90p
p = 42

Check the answer. If Dwayne planted 42 acres of pinto beans, he planted 28 acres of navy beans. The yield of pinto beans was 42 × 36 = 1,512 bushels. The yield of navy beans was 28 × 27 = 756 bushels, which was half the yield of pinto beans.
_________________

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

Try our free Online GRE Test

Director
Director
User avatar
Joined: 22 Jun 2019
Posts: 517
Followers: 5

Kudos [?]: 107 [0], given: 161

CAT Tests
Re: Dwayne planted 70 acres with two types of beans: navy and pi [#permalink] New post 09 Jul 2019, 02:15
sandy wrote:
Dwayne planted 70 acres with two types of beans: navy and pinto. Each acre of navy beans yielded 27 bushels and each acre of pinto beans yielded 36 bushels. If Dwayne grew twice as many bushels of pinto beans as navy beans, how many acres of pinto beans did he plant?

(A) 28
(B) 30
(C) 35
(D) 40
(E) 42


any easy way to solve it?
_________________

New to the GRE, and GRE CLUB Forum?
GRE: All About GRE | Search GRE Specific Questions | Download Vault
Posting Rules: QUANTITATIVE | VERBAL

Questions' Banks and Collection:
ETS: ETS Free PowerPrep 1 & 2 All 320 Questions Explanation. | ETS All Official Guides
3rd Party Resource's: All In One Resource's | All Quant Questions Collection | All Verbal Questions Collection | Manhattan 5lb All Questions Collection
Books: All GRE Best Books
Scores: Average GRE Score Required By Universities in the USA
Tests: All Free & Paid Practice Tests | GRE Prep Club Tests
Extra: Permutations, and Combination
Vocab: GRE Vocabulary
Facebook GRE Prep Group: Click here to join FB GRE Prep Group

1 KUDOS received
Intern
Intern
Joined: 15 Jul 2020
Posts: 2
Followers: 0

Kudos [?]: 3 [1] , given: 0

Re: Dwayne planted 70 acres with two types of beans: navy and pi [#permalink] New post 19 Jul 2020, 17:54
1
This post received
KUDOS
huda wrote:
sandy wrote:
Dwayne planted 70 acres with two types of beans: navy and pinto. Each acre of navy beans yielded 27 bushels and each acre of pinto beans yielded 36 bushels. If Dwayne grew twice as many bushels of pinto beans as navy beans, how many acres of pinto beans did he plant?

(A) 28
(B) 30
(C) 35
(D) 40
(E) 42


any easy way to solve it?


I don't think there's a shortcut, but I don't like the wordiness of the official explanation. There's need to confuse yourself with big equations. You just need to build 2 equations like how you are taught in school.

1. Building the first equation is easy. AcresN + AcresP = 70
2. Building the second equation is a bit tricky because it's actually made of 2 mini parts.
>> BushelsN = AcresN x 27
>> BushelsP = AcresP x 36 --> 2(BushelsN) = AcresP x 36

Solve for AcresN and AcresP and plug them back into equation 1.
>> AcresN = BushelsN/27
>> AcresP = 2(BushelsN)/36
>> [BushelsN/27] + [2(BushelsN)/36] = 70

The rest is easy:
BushelsN is 756
BushelsP is 1512

AcresP = 1512/36 = 42 acres
Re: Dwayne planted 70 acres with two types of beans: navy and pi   [#permalink] 19 Jul 2020, 17:54
Display posts from previous: Sort by

Dwayne planted 70 acres with two types of beans: navy and pi

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

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®.