Final answer:
To find the fraction of flowers that are not pink, sum the non-pink flowers (red and white) and divide by the total number of flowers. The fraction 10/15 simplifies to 2/3, which is not among the provided options. This suggests there may be an error in the question's options.
Step-by-step explanation:
The question involves finding the fraction of flowers in a vase that are not pink. There are 5 pink flowers, 3 red ones, and 7 white ones in the vase. To find the fraction of flowers that are not pink, we add the number of red and white flowers together since these represent the non-pink flowers. The sum is 3 red + 7 white = 10 flowers that are not pink.
Now we calculate the total number of flowers in the vase: 5 pink + 10 non-pink = 15 total flowers. The fraction of flowers that are not pink will be the number of non-pink flowers divided by the total number of flowers, which is 10/15.
This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 5. So 10/15 simplifies to 2/3.
After simplification, the fraction of flowers that are not pink is 2/3; therefore, the correct answer is not listed among the provided options (a) 5/15, (b) 3/15, (c) 8/15, (d) 15/8. Each of these is incorrect because they do not equal 2/3 when simplified. As a tutor, I would advise double-checking the options or possibly checking with the teacher or text in case of a misprint.