Question
Chloe gave out a survey to some students in her school about their favorite color. 219 of those surveyed said their favorite color was purple. If 73% of the students surveyed said their favorite color was purple, how many students were surveyed in total?
Answers
GPT-4o mini
Let \( x \) be the total number of students surveyed. According to the problem, 73% of the students surveyed said their favorite color was purple. This can be expressed with the equation:
\[
0.73x = 219
\]
To find \( x \), we can solve for \( x \) by dividing both sides of the equation by 0.73:
\[
x = \frac{219}{0.73}
\]
Now, we can calculate \( x \):
\[
x \approx 300
\]
Thus, the total number of students surveyed is approximately \( \boxed{300} \).
To verify, we can calculate 73% of 300:
\[
0.73 \times 300 = 219
\]
Since this is consistent with the information given in the problem, the answer is confirmed to be correct. The total number of students surveyed is indeed \( \boxed{300} \).
\[
0.73x = 219
\]
To find \( x \), we can solve for \( x \) by dividing both sides of the equation by 0.73:
\[
x = \frac{219}{0.73}
\]
Now, we can calculate \( x \):
\[
x \approx 300
\]
Thus, the total number of students surveyed is approximately \( \boxed{300} \).
To verify, we can calculate 73% of 300:
\[
0.73 \times 300 = 219
\]
Since this is consistent with the information given in the problem, the answer is confirmed to be correct. The total number of students surveyed is indeed \( \boxed{300} \).