[GMAT math practice question]
Alice sells apples. She sold at least 10 lb every day last week. If the total weight of apples sold last week was 140, what is the largest possible range of the weights of apples sold on each day last week?
A. 40
B. 50
C. 60
D. 70
E. 80
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
Alice sells apples. She sold at least 10 lb every day last w
This topic has expert replies
-
Max@Math Revolution
- Elite Legendary Member
- Posts: 3991
- Joined: Fri Jul 24, 2015 2:28 am
- Location: Las Vegas, USA
- Thanked: 19 times
- Followed by:37 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
Math Revolution
The World's Most "Complete" GMAT Math Course!
Score an excellent Q49-51 just like 70% of our students.
[Free] Full on-demand course (7 days) - 100 hours of video lessons, 490 lesson topics, and 2,000 questions.
[Course] Starting $79 for on-demand and $60 for tutoring per hour and $390 only for Live Online.
Email to : [email protected]
-
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
Since at least 10 apples are sold every day, the least number of apples sold on a single day = 10.Max@Math Revolution wrote:[GMAT math practice question]
Alice sells apples. She sold at least 10 lb every day last week. If the total weight of apples sold last week was 140, what is the largest possible range of the weights of apples sold on each day last week?
A. 40
B. 50
C. 60
D. 70
E. 80
The maximize the range, we must maximize the GREATEST number of apples sold on a single day.
To maximize the greatest number of apples sold on a single day, we must MINIMIZE the number of apples sold on each of the other 6 days.
Since at least 10 apples are sold every day, the least possible number of apples sold on each of the other 6 days = 10, for a total of 60 apples sold on the 6 days with the lowest sales.
Since the total number of apples sold on all 7 days = 140, the greatest possible option for the day with the highest sales = 140-60 = 80 apples.
The following range is yielded:
(highest possible sale day) - (lowest possible sale day) = 80-10 = 70.
The correct answer is D.
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
We have to find the largest range. So we have to increase the gap between the largest and smallest.
Smallest is given as 10.
How do we make one of them largest possible- by taking all remaining to be 10...
So 10*6 = 60
7th day, 140 - 60 = 80...
Range 80 - 10 = 70. Option D.
Regards!
Smallest is given as 10.
How do we make one of them largest possible- by taking all remaining to be 10...
So 10*6 = 60
7th day, 140 - 60 = 80...
Range 80 - 10 = 70. Option D.
Regards!
GMAT/MBA Expert
-
Scott@TargetTestPrep
- GMAT Instructor
- Posts: 7243
- Joined: Sat Apr 25, 2015 10:56 am
- Location: Los Angeles, CA
- Thanked: 43 times
- Followed by:29 members
We want to maximize the range of the 7 days' sales. Therefore, we will minimize the values of the first 6 days, and that will make the value on the 7th day a maximum value, and then the range of the set will be maximized. We can let the number of pounds of apple she sold on each of the first 6 days be exactly 10. Thus, the maximum number of pounds of she sold on the last day is 140 - (6 x 10) = 140 - 60 = 80. Therefore, the largest possible range is:Max@Math Revolution wrote:[GMAT math practice question]
Alice sells apples. She sold at least 10 lb every day last week. If the total weight of apples sold last week was 140, what is the largest possible range of the weights of apples sold on each day last week?
A. 40
B. 50
C. 60
D. 70
E. 80
80 - 10 = 70
Answer: D
Scott Woodbury-Stewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews
-
Max@Math Revolution
- Elite Legendary Member
- Posts: 3991
- Joined: Fri Jul 24, 2015 2:28 am
- Location: Las Vegas, USA
- Thanked: 19 times
- Followed by:37 members
=>
Since the minimum weight of apples sold is 10, the greatest range occurs for the greatest maximum. The greatest maximum occurs when all but one of the weights sold is 10 lb.
If the weights are 10, 10, 10, 10, 10, 10, max, then we must have max + 10 + 10 + 10 + 10 + 10 + 10 = max + 60 = 140.
Thus, max = 80.
The range is max - min = 80 - 10 = 70.
Therefore, the answer is D.
Answer : D
Since the minimum weight of apples sold is 10, the greatest range occurs for the greatest maximum. The greatest maximum occurs when all but one of the weights sold is 10 lb.
If the weights are 10, 10, 10, 10, 10, 10, max, then we must have max + 10 + 10 + 10 + 10 + 10 + 10 = max + 60 = 140.
Thus, max = 80.
The range is max - min = 80 - 10 = 70.
Therefore, the answer is D.
Answer : D
Math Revolution
The World's Most "Complete" GMAT Math Course!
Score an excellent Q49-51 just like 70% of our students.
[Free] Full on-demand course (7 days) - 100 hours of video lessons, 490 lesson topics, and 2,000 questions.
[Course] Starting $79 for on-demand and $60 for tutoring per hour and $390 only for Live Online.
Email to : [email protected]
