By working with percentages, we conclude that the total number of students surveyed is 880.
First, we know that a total of N students were surveyed about what color they preferred, blue or purple.
Then the other 55% preferred purple, which means that the 55% of the total number of students surveyed, N, is equal to 484.
So we just need to use what we know about percentages, we will get:
484 = N*(55%/100%) = N*0.55
Now we can solve this simple linear equation to find the value of N, we will get:
484/0.55 = N = 880
In this way, we conclude that the total number of students surveyed is 880.
If you want to learn more about percentages:
https://brainly.com/question/843074
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