Question

In a survey of college students, 25% said they would be willing to pay more for improved parking conditions. If 225 students said they would NOT be willing to pay more, how many students were surveyed?

Answer 1

`300` students were surveyed.

Explanation:

If `25%` said they would be willing to pay more, `100% - 25% = 75%` said they would not be willing to pay more. `225` is therefore `75%` of the total number surveyed.

To find the total number, divide `225` by the percentage that it is:
`\frac{225}{0.75} = 300`

(To convince yourself that this is correct, find `75%` of `300` students: `0.75 \cdot 300 = 225`.)

This answer assumes there were only two options in the survey, 'am willing' and 'am not willing', and that every respondent answered the question.