Math Question???? PLEASE explain step by step?

Question

The students found that 0.016 of the teachers were either brave or completely fearless. If 480 teachers fell into one of these categories, how many teachers were there in all?

Answer 1

I'm pretty sure you just divined the number of teachers in the category by there percentage.

480/.016 and your answer would be 30000

Answer 2

givn that 16x/1000=480

Hence, x=480*1000/16=30000

Hence, the total is 30000

Answer 3

This is a proportion problem.

You always set up a proportion like this:

(a_part / a_whole) = (b_part / b_whole)

Then you fill in what you know:

(0.016 / 1) = (480 / b_whole)

To solve these, you always just cross-multiply the known parts that are diagonally opposite and then divide by the other known part.  This is easier to visualize if you draw the fractions with the numerator over a horizontal line over the denominator (but I can't do that so easily here).

So, b_whole = 480 * 1 / 0.016 = 30,000.