SOLUTION: In a garden 2/3 of the flowers are roses. Of the roses in the garden, 5/12 are yellow and the rest are red. What fraction of the flowers are red roses? 7/12 are red roses?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: In a garden 2/3 of the flowers are roses. Of the roses in the garden, 5/12 are yellow and the rest are red. What fraction of the flowers are red roses? 7/12 are red roses?      Log On


   

Question 1062671: In a garden 2/3 of the flowers are roses. Of the roses in the garden, 5/12 are yellow and the rest are red.
What fraction of the flowers are red roses?
7/12 are red roses?
Found 2 solutions by Fombitz, Edwin McCravy:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
7/12 of the roses are red roses but you need to find what fraction of flowers are red roses so multiply this number by 2/3 since 2/3 of the flowers are roses.
%287%2F12%29%282%2F3%29=7%2F18

Answer by Edwin McCravy(20063) About Me  (Show Source):
You can put this solution on YOUR website!
Too many tutors blurt out solutions without explaining why.
You asked this:

7/12 are red roses? 
No.  7/12 would have been the answer to this question:

What fraction of the roses are red roses?

But that was not the question.  The question was:

What fraction of the flowers are red roses?

Since the roses are only 2/3rds of the flowers, 
the red roses are 7/12ths of 2/3rds of the flowers.  
So we take 7/12th of 2/3rds, which means that we 
multiply the two fractions:



Edwin