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?

1 Answer
Nov 20, 2017

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.