Farm A had an average output of 300 kgs of wheat per acre. Farm B had an average output of 350 kgs of wheat per acre. It is known that Farm B's area is 15 acres less than Farm A's. It is also known that Farm B in total harvested 2000 kgs of wheat more than Farm A. What is the area of Farm A?
(A)130 acres (B) 135 acres (C) 145 acres (D)160 acres
OA C
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
farm A&B
This topic has expert replies
-
AIM TO CRACK GMAT
- Senior | Next Rank: 100 Posts
- Posts: 80
- Joined: Sat Sep 15, 2012 1:07 am
- Thanked: 1 times
- Followed by:1 members
-
mevicks
- Master | Next Rank: 500 Posts
- Posts: 269
- Joined: Thu Sep 19, 2013 12:46 am
- Thanked: 94 times
- Followed by:7 members
35
Farm B --> area is (x - 15) acres
for x acres A's produce is 300x
for (x - 15) acres B's produce is 350(x - 15)
We are given that B's produce is 2000 more than that of A's:
350(x - 15) = 300x + 2000
[spoiler]Answer : x = 145[/spoiler]
Farm A --> Let the area be x acresAIM TO CRACK GMAT wrote:Farm A had an average output of 300 kgs of wheat per acre. Farm B had an average output of 350 kgs of wheat per acre. It is known that Farm B's area is 15 acres less than Farm A's. It is also known that Farm B in total harvested 2000 kgs of wheat more than Farm A. What is the area of Farm A?
(A)130 acres (B) 135 acres (C) 145 acres (D)160 acres
OA C
Farm B --> area is (x - 15) acres
for x acres A's produce is 300x
for (x - 15) acres B's produce is 350(x - 15)
We are given that B's produce is 2000 more than that of A's:
350(x - 15) = 300x + 2000
[spoiler]Answer : x = 145[/spoiler]
GMAT/MBA Expert
-
Brent@GMATPrepNow
- GMAT Instructor
- Posts: 16207
- Joined: Mon Dec 08, 2008 6:26 pm
- Location: Vancouver, BC
- Thanked: 5254 times
- Followed by:1268 members
- GMAT Score:770
Let B = area of Farm B (in acres)AIM TO CRACK GMAT wrote:Farm A had an average output of 300 kgs of wheat per acre. Farm B had an average output of 350 kgs of wheat per acre. It is known that Farm B's area is 15 acres less than Farm A's. It is also known that Farm B in total harvested 2000 kgs of wheat more than Farm A. What is the area of Farm A?
(A)130 acres
(B) 135 acres
(C) 145 acres
(D)160 acres
Farm B's area is 15 acres less than Farm A's
So, B + 15 = area of Farm A (in acres)
Farm B had an average output of 350 kgs of wheat per acre.
Farm B total output = 350B
Farm A had an average output of 300 kgs of wheat per acre.
Farm A total output = 300(B+15)
Farm B in total harvested 2000 kgs of wheat more than Farm A
In other words, (Farm B's total output) - (Farm A's total output) = 2000
We get: 350B - 300(B+15) = 2000
Expand: 350B - 300B - 4500 = 2000
Simplify: 50B = 6500
B = 130
What is the area of Farm A?
area of Farm A = B + 15
= 130 + 15
= 145
= C
Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
-
GMATGuruNY
- GMAT Instructor
- Posts: 15539
- Joined: Tue May 25, 2010 12:04 pm
- Location: New York, NY
- Thanked: 13060 times
- Followed by:1906 members
- GMAT Score:790
An alternate approach is to plug in the answers, which represent the area of Farm A.AIM TO CRACK GMAT wrote:Farm A had an average output of 300 kgs of wheat per acre. Farm B had an average output of 350 kgs of wheat per acre. It is known that Farm B's area is 15 acres less than Farm A's. It is also known that Farm B in total harvested 2000 kgs of wheat more than Farm A. What is the area of Farm A?
(A)130 acres (B) 135 acres (C) 145 acres (D)160 acres
OA C
The area of Farm B is 15 acres less than that of Farm A.
Answer choice B: A = 135 acres, B = 120 acres
Since A produces 300kg per acre, A's output = 300*135 = 40500kg
Since B produces 350kg per acre, B's output = 350*120 = 42000kg.
B-A = 42000-40500 = 1500kg.
Since the required difference -- 2000kg -- is GREATER than 1500, try a BIGGER answer choice.
Answer choice C: A = 145 acres, B = 130 acres
Since A produces 300kg per acre, A's output = 300*145 = 43500kg
Since B produces 350kg per acre, B's output = 350*130 = 45500kg.
B-A = 45500-43500 = 2000kg.
Success!
The correct answer is C.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
-
sahilchaudhary
- Master | Next Rank: 500 Posts
- Posts: 153
- Joined: Mon Apr 11, 2011 7:13 am
- Location: India
- Thanked: 22 times
- Followed by:7 members
- GMAT Score:540
IMO C.
Sahil Chaudhary
If you find this post helpful, please take a moment to click on the "Thank" icon.
https://www.sahilchaudhary007.blocked
If you find this post helpful, please take a moment to click on the "Thank" icon.
https://www.sahilchaudhary007.blocked
