Question
Robert gave out a survey to some students in his school about their favorite color. 970 of those surveyed said their favorite color was purple. If 97, percent97% of the students surveyed said their favorite color was purple, how many students were surveyed in total?
Answers
GPT-4o mini
Let's denote the total number of students surveyed as \( x \).
According to the problem, 97% of the students surveyed said their favorite color was purple, and this number equals 970. We can express this relationship mathematically as:
\[
0.97x = 970
\]
To find \( x \), we can solve the equation by dividing both sides by 0.97:
\[
x = \frac{970}{0.97}
\]
Now, we perform the division:
\[
x \approx 1000
\]
Thus, the total number of students surveyed is approximately **1000**.
According to the problem, 97% of the students surveyed said their favorite color was purple, and this number equals 970. We can express this relationship mathematically as:
\[
0.97x = 970
\]
To find \( x \), we can solve the equation by dividing both sides by 0.97:
\[
x = \frac{970}{0.97}
\]
Now, we perform the division:
\[
x \approx 1000
\]
Thus, the total number of students surveyed is approximately **1000**.