Question
In a recent survey, 3 out of every 5 students said Math is their favorite class. If 200 students were surveyed, how many students can be expected to choose math as their favorite class?
Answers
GPT-4o mini
To find out how many students chose Math as their favorite class, we can use the ratio given in the survey. If 3 out of every 5 students said Math is their favorite class, we can represent this as:
\[
\text{Fraction of students who like Math} = \frac{3}{5}
\]
Now, to find the expected number of students who prefer Math out of the 200 surveyed, we can multiply the total number of students by the fraction:
\[
\text{Number of students who like Math} = \frac{3}{5} \times 200
\]
Calculating this:
\[
\frac{3}{5} \times 200 = \frac{600}{5} = 120
\]
Thus, we can expect that **120 students** chose Math as their favorite class.
\[
\text{Fraction of students who like Math} = \frac{3}{5}
\]
Now, to find the expected number of students who prefer Math out of the 200 surveyed, we can multiply the total number of students by the fraction:
\[
\text{Number of students who like Math} = \frac{3}{5} \times 200
\]
Calculating this:
\[
\frac{3}{5} \times 200 = \frac{600}{5} = 120
\]
Thus, we can expect that **120 students** chose Math as their favorite class.