Using proportions, it is found that 700 students were surveyed in total.
A proportion is a fraction of a total amount.
In this problem, we have that 100 - 47 = 53% of the total number of students had blue as their favorite color, and this amount is of 371, hence:
0.53n = 371
n = 371/0.53
n = 700.
700 students were surveyed in total.
More can be learned about proportions at https://brainly.com/question/24372153