Questions: You are performing marketing research to find out the purchasing potential of students in the community. Based on the latest census, there are 9,860 students in a population of 62,400 people. What percent of the total population is students? A 6.3 B 7.3 C 15.8 D 52.5 E 84.2

You are performing marketing research to find out the purchasing potential of students in the community. Based on the latest census, there are 9,860 students in a population of 62,400 people. What percent of the total population is students?
A 6.3
B 7.3
C 15.8
D 52.5
E 84.2
Transcript text: You are performing marketing research to find out the purchasing potential of students in the community. Based on the latest census, there are 9,860 students in a population of 62,400 people. What percent of the total population is students? A 6.3 B 7.3 C 15.8 D 52.5 E 84.2
failed

Solution

failed
failed

Solution Steps

To find the percentage of students in the total population, we need to divide the number of students by the total population and then multiply by 100.

Step 1: Identify the Given Data

We are given:

  • The number of students: \( 9860 \)
  • The total population: \( 62400 \)
Step 2: Set Up the Percentage Formula

To find the percentage of students in the total population, we use the formula: \[ \text{Percentage} = \left( \frac{\text{Number of Students}}{\text{Total Population}} \right) \times 100 \]

Step 3: Substitute the Given Values

Substitute the given values into the formula: \[ \text{Percentage} = \left( \frac{9860}{62400} \right) \times 100 \]

Step 4: Perform the Calculation

Calculate the fraction: \[ \frac{9860}{62400} \approx 0.1580128205128205 \] Then multiply by 100 to convert to a percentage: \[ 0.1580128205128205 \times 100 \approx 15.8013 \]

Final Answer

The percentage of students in the total population is approximately \( 15.8013\% \). Therefore, the answer is: \[ \boxed{15.8} \] The correct choice is C.

Was this solution helpful?
failed
Unhelpful
failed
Helpful