Jeriel gave out a survey to some students in his school about their favorite color. Students could choose between purple and blue. 484 of those surveyed said their favorite color was purple. 45% of the students surveyed said their favorite color was blue. How many students were surveyed in total?



Answer :

By working with percentages, we conclude that the total number of students surveyed is 880.

How many students were surveyed in total?

First, we know that a total of N students were surveyed about what color they preferred, blue or purple.

  • We also know that 484 said that they preferred purple.
  • The 45% preferred blue.

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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