High School

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A survey asks people whether they wear eyeglasses. The table shows the results of the survey. What percent of the total number of people surveyed wear eyeglasses?

**Eyeglasses Survey**

\[
\begin{tabular}{|c|c|c|c|c|}
\hline
& \text{Wear Eyeglasses} & \begin{tabular}{l} \text{Do Not Wear} \\ \text{Eyeglasses} \end{tabular} & & \text{Total} \\
\hline
\text{Younger than 18} & 6 & 9 & & 15 \\
\hline
\text{18-55} & 29 & 18 & & 47 \\
\hline
\text{Older than 55} & 10 & 3 & & 13 \\
\hline
\text{Total} & 45 & 30 & & 75 \\
\hline
\end{tabular}
\]

A. [tex]$70 \%$[/tex]
B. [tex]$60 \%$[/tex]
C. [tex]$75 \%$[/tex]
D. [tex]$45 \%$[/tex]

Answer :

The percent of the total number of people surveyed who wear eyeglasses is B. 60%.

To find the percentage of people who wear eyeglasses from the survey results, we follow these steps:

  1. Identify the Total Number of People Surveyed:
    From the table provided, we can see that the total number of people surveyed is 75.

  2. Determine the Number of People Who Wear Eyeglasses:
    Looking at the table, we see that the total number of people who wear eyeglasses is 45.

  3. Calculate the Percentage:
    To find the percentage of people who wear eyeglasses, we use the formula:

    [tex]\text{Percentage} = \left( \frac{\text{Number of people who wear eyeglasses}}{\text{Total number of people surveyed}} \right) \times 100[/tex]

    Substituting the values:

    [tex]\text{Percentage} = \left( \frac{45}{75} \right) \times 100[/tex]

    Now, we can simplify this:

    [tex]\frac{45}{75} = 0.6[/tex]

    And then convert it to a percentage:

    [tex]0.6 \times 100 = 60 \%[/tex]

The complete question is shown below.

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Rewritten by : Barada

Sure! Let's break down the solution step-by-step to find out what percent of the total number of people surveyed wear eyeglasses.

1. Identify the total number of people surveyed:
According to the survey results, the total number of people surveyed is given as 75.

2. Identify how many people wear eyeglasses:
From the table, we can see that the total number of people who wear eyeglasses is 45.

3. Calculate the percentage:
To find the percentage of people who wear eyeglasses, we use the formula for percentage:

[tex]\[
\text{Percentage} = \left( \frac{\text{Number of people who wear eyeglasses}}{\text{Total number of people surveyed}} \right) \times 100
\][/tex]

4. Substitute the values into the formula:

[tex]\[
\text{Percentage} = \left( \frac{45}{75} \right) \times 100
\][/tex]

5. Simplify the fraction:

[tex]\[
\frac{45}{75} = 0.6
\][/tex]

6. Multiply by 100 to get the percentage:

[tex]\[
0.6 \times 100 = 60\%
\][/tex]

So, the percent of the total number of people surveyed who wear eyeglasses is 60%.