At the end of the day, February 14th, a florist had 120 roses left in his shop, all of which were red, white or pink in color and either long or short-stemmed. A third of the roses were short-stemmed, 20 of which were white and 15 of which were pink. The percentage of pink roses that were short-stemmed equaled the percentage of red roses that were short-stemmed. If none of the long-stemmed roses were white, what percentage of the long-stemmed roses were red?
20% 25% 50% 75% 80%
rose problem
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Red White Pink Total
Long 80 - X 0 X 80
Short 5 20 15 40
Total 85 - X 20 15+x 120
got the above table with the given data.
Now % short stemed for Red & Pink are equal.
hence
5/(85-x) = 15/(15+x)
Solving the above we get x = 60.
Now no of Long stem red flower = 80 -x = 80 - 60 = 20
% = 20/80 * 100 = 25%
Long 80 - X 0 X 80
Short 5 20 15 40
Total 85 - X 20 15+x 120
got the above table with the given data.
Now % short stemed for Red & Pink are equal.
hence
5/(85-x) = 15/(15+x)
Solving the above we get x = 60.
Now no of Long stem red flower = 80 -x = 80 - 60 = 20
% = 20/80 * 100 = 25%
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Use a GROUP GRID to organize the data.AIM TO CRACK GMAT wrote:At the end of the day, February 14th, a florist had 120 roses left in his shop, all of which were red, white or pink in color and either long or short-stemmed. A third of the roses were short-stemmed, 20 of which were white and 15 of which were pink. The percentage of pink roses that were short-stemmed equaled the percentage of red roses that were short-stemmed. If none of the long-stemmed roses were white, what percentage of the long-stemmed roses were red?
20% 25% 50% 75% 80%
A florist had 120 roses left in his shop, all of which were red, white or pink in color and either long or short-stemmed.
A third of the roses were short-stemmed:
........L........S........T
R
W
T.....80.....40......120
Of the short-stemmed roses, 20 were white and 15 were pink.
None of the long-stemmed roses were white:
........L........S........T
R................5
W......0.......20.....20
P................15
T.....80......40.....120
The percentage of pink roses that were short-stemmed equaled the percentage of red roses that were short-stemmed.
This is the equivalent of the following ratio:
long red : short red = long pink : short pink
long red : 5 = long pink : 15
long red : long pink = 5:15 = 1:3.
The grid indicates that (long red) + (long pink) = 80.
Since 1:3 = 20:60, long red = 20 and long pink = 60.
Thus:
(long red) / (total long) = 20/80 = 1/4 = 25%.
The correct answer is B.
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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
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