Select the correct answer.

A survey was conducted in which a random sample of 1,000 people were asked to pick their favorite type of music. The top three were:
\begin{tabular}{|c|c|}
\hline \multicolumn{2}{|c|}{ Music Type } \\
\hline Pop & [tex]$30 \%$[/tex] \\
\hline Rock & [tex]$26 \%$[/tex] \\
\hline Country & [tex]$20 \%$[/tex] \\
\hline
\end{tabular}

How many of the people surveyed did not like any of the top three types of music?

A. 200
B. 240
C. 260
D. 300



Answer :

To determine the number of people who did not like any of the top three types of music, we need to follow a series of calculations. Let's break it down step-by-step:

1. Identify the total number of people surveyed:
- Total number surveyed = 1,000

2. Identify the percentage of people who like each of the top three music types:
- Pop = 30%
- Rock = 26%
- Country = 20%

3. Calculate the number of people who like each type of music:
- Number of people who like Pop = 30% of 1,000 = 300
- Number of people who like Rock = 26% of 1,000 = 260
- Number of people who like Country = 20% of 1,000 = 200

4. Calculate the total number of people who like any of the top three music types:
- Total = Number of people who like Pop + Number of people who like Rock + Number of people who like Country
- Total = 300 (Pop) + 260 (Rock) + 200 (Country)
- Total = 760

5. Calculate the number of people who did not like any of the top three types of music:
- Number of people who did not like any of the top three types = Total surveyed - Total who like the top three types
- Number = 1,000 - 760
- Number = 240

Therefore, the number of people surveyed who did not like any of the top three types of music is [tex]\(\boxed{240}\)[/tex]. The correct answer is B. 240