A company surveyed 800 people about their use of Soap L and Soap M. The table shows the results.

SOAP SURVEY

[tex]\[
\begin{tabular}{|l|c|c|}
\hline
& \begin{tabular}{c}
Use \\
Soap M
\end{tabular}
& \begin{tabular}{c}
Do Not \\
Use \\
Soap M
\end{tabular} \\
\hline
Use Soap L & 148 & 252 \\
\hline
\begin{tabular}{l}
Do Not Use \\
Soap L
\end{tabular}
& 264 & 136 \\
\hline
\end{tabular}
\][/tex]

Based on the results, of those who do not use Soap L, [tex]\( x \%\)[/tex] use Soap M. What is the value of [tex]\( x \)[/tex], expressed as a whole number?



Answer :

To determine the percentage of people who do not use Soap L, but use Soap M, follow these steps:

1. Identify the number of people who do not use Soap L:

According to the survey table:
- The number of people who do not use Soap L and use Soap M is 264.
- The number of people who do not use Soap L and do not use Soap M is 136.

By summing these values, we get the total number of people who do not use Soap L:

[tex]\[ \text{Total number of people who do not use Soap L} = 264 + 136 = 400 \][/tex]

2. Identify the subset of people within that group who use Soap M:

From the table, the number of people who do not use Soap L but use Soap M is 264.

- So, [tex]\(\text{people who use Soap M but do not use Soap L} = 264\)[/tex]

3. Calculate the percentage of these people out of the total number of people who do not use Soap L:

To find the percentage, we use the formula:

[tex]\[ \text{Percentage} = \left( \frac{\text{number of people who use Soap M but do not use Soap L}}{\text{total number of people who do not use Soap L}} \right) \times 100 \][/tex]

Substituting the values, we get:

[tex]\[ \text{Percentage} = \left( \frac{264}{400} \right) \times 100 = 66.0 \][/tex]

4. Express this percentage as a whole number:

As the calculated percentage is 66.0, when expressed as a whole number, it remains 66.

Hence, the value of [tex]\( x \)[/tex] is:

[tex]\[ x = 66 \][/tex]