What Is the Greatest Number of Identical Bouquets
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What is the greatest number of identical bouquets that can [#permalink] 
Updated on: 16 Jun 2017, 03:59
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What is the greatest number of identical bouquets that can be made out of 21 white and 91 red tulips if no flowers are to be left out? (Two bouquets are identical whenever the number of red tulips in the two bouquets is equal and the number of white tulips in the two bouquets is equal.)
A. 3
B. 4
C. 5
D. 6
E. 7
OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/what-is-the- ... 67914.html
Originally posted by GMAThirst on 18 Mar 2013, 11:43.
Last edited by Bunuel on 16 Jun 2017, 03:59, edited 2 times in total.
RENAMED THE TOPIC.
Math Expert
Joined: 02 Sep 2009
Posts: 82977
Re: What is the greatest number of identical bouquets that can [#permalink] 18 Mar 2013, 11:54
GMAThirst wrote:
What is the greatest number of identical bouquets that can be made out of 21 white and 91 red tulips if no flowers are to be left out? (Two bouquets are identical whenever the number of red tulips in the two bouquets is equal and the number of white tulips in the two bouquets is equal.)
A. 3
B. 4
C. 5
D. 6
E. 7
Please show me how to solve.
Since no flowers are to be left out, then the number of bouquets must be a factor of both 21 and 91. For example, we cannot have 2 bouquets since we cannot divide 91 red tulips into 2 bouquets without one tulip left over.
Only answer choice which is a factor of 91 is E (7).
Answer: E.
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Re: What is the greatest number of identical bouquets that can [#permalink] 18 Mar 2013, 12:04
Look for the factors of 21 and 91:
white = 21 = 3 x 7
red = 91 = 13 x 7
The common factor is 7, thus the greatest number of identical bouquets is 7.
Let me explain graphically:
_______Identical Bouquets (7 bouquets)______________
\(\;\;\;\;\;\;\)White \(\;\;\;\;\) Red
\(\;\;\;\;\)3 tulips\(\;\;\;\;\) 13 tulips = 3 white and 13 red tulips
\(\;\;\;\;\)3 tulips\(\;\;\;\;\) 13 tulips = 3 white and 13 red tulips
\(\;\;\;\;\)3 tulips\(\;\;\;\;\) 13 tulips = 3 white and 13 red tulips
\(\;\;\;\;\)3 tulips\(\;\;\;\;\) 13 tulips = 3 white and 13 red tulips
\(\;\;\;\;\)3 tulips\(\;\;\;\;\) 13 tulips = 3 white and 13 red tulips
\(\;\;\;\;\)3 tulips\(\;\;\;\;\) 13 tulips = 3 white and 13 red tulips
\(\;\;\;\;\)3 tulips\(\;\;\;\;\) 13 tulips = 3 white and 13 red tulips
Math Expert
Joined: 02 Sep 2009
Posts: 82977
Re: What is the greatest number of identical bouquets that can [#permalink] 29 Oct 2013, 05:28
zeallous wrote:
I don't understand the solution here.
AND
I think its quite common to post official guide questions. Is there a way to search?
All OG13 questions with solutions are here:
the-official-guide-quantitative-question-directory-143450.html
Hope it helps.
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Math Expert
Joined: 02 Sep 2009
Posts: 82977
Re: What is the greatest number of identical bouquets that can [#permalink] 16 Jun 2017, 03:59
GMAThirst wrote:
What is the greatest number of identical bouquets that can be made out of 21 white and 91 red tulips if no flowers are to be left out? (Two bouquets are identical whenever the number of red tulips in the two bouquets is equal and the number of white tulips in the two bouquets is equal.)
A. 3
B. 4
C. 5
D. 6
E. 7
OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/what-is-the- ... 67914.html
_________________
Re: What is the greatest number of identical bouquets that can [#permalink]
16 Jun 2017, 03:59
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What Is the Greatest Number of Identical Bouquets
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