GMATT73 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?
(A) 20%
(B) 25%
(C) 50%
(D) 75%
(E) 80%
If there are 120 roses, we see that 20 are white (20 white-short but none white-long), so 100 are either red or pink
Let r and 100-r be the number of red and pink roses respectively. 5 of the red roses and 15 of the pink roses are short, so the number of long reds and long pinks are r-5 and 85-r respectively.
The percentage of pink roses that were short-stemmed equaled the percentage of red roses that were short-stemmed
So, (85-r)/(100-r)=(r-5)/r =>r=25.
Thus there are a total of 20+60=80 long roses, 20 of which are red
20/80= 25% B