\multicolumn{2}{|l|}{What after school activity do you participate in?}

Sport
40\%

Club
35\%

Extra Help
15\%

None
10\%






The table shows the results of a survey about afterschool activities.



If 210 students participated in the survey, how many of those students do not participate in any after-school activities?

Verified Answer :

  • The total number of students who participated in the survey is \(210\).
  • The percentage of students who do not participate in any after-school activities is \(10\%\).
  • The number of students is found by multiplying the total by the percentage: \(210 \times 0.10 = 21\).
  • The final number of students is \(\boxed{21}\).

Explanation

  1. Analyze the survey data and identify the goal

The problem provides the total number of students who participated in a survey, which is \(210\). We are given a table detailing the percentages of students involved in various after-school activities. Specifically, we need to determine the number of students who do not participate in any after-school activities, which is indicated as \(10\%\) of the total participants.

  1. Set up the calculation for the number of students

To find the number of students in a specific category when given a percentage of a total, we use the following formula:
\[ \text{Number of students} = \text{Total students} \times \text{Percentage} \]
Here, the total number of students is \(210\), and the percentage of students who do not participate in any activity is \(10\%\), which can be expressed as a decimal: \(0.10\).

  1. Calculate the final number of students

We calculate the number of students by multiplying the total number of students by the decimal form of the percentage:
\[ 210 \times 0.10 = 21 \]
Thus, the number of students who do not participate in any after-school activities is \(21\).

Examples

This type of calculation is very common in everyday life, such as when analyzing budget breakdowns or understanding demographic data. For example, if a store has 200 customers and 15% of them used a coupon, you would calculate the number of coupon users by multiplying 200 by 0.15, resulting in 30 customers. This method helps in quickly interpreting percentage-based statistics to make informed decisions.