Question

In Exercises 29–36, answer the given questions, which are related to percentages.

Workplace Attire In a survey conducted by Opinion Research Corporation, 1000 adults were asked to identify “what is inappropriate in the workplace.” Of the 1000 subjects, 70% said that miniskirts were not appropriate in the workplace.

a. What is 70% of 1000?

b. Among the 1000 respondents, 550 said that shorts are unacceptable in the workplace. What percentage of respondents said that shorts are unacceptable in the workplace?

Short answer

a. 700 adults

b. 55%

Step-by-step solution

Given information

The organization Opinion Research Corporation surveyed inappropriate attire in the workplace.

In the survey, out of 1000 adults, 70% responded that miniskirts were not appropriate attire in the workplace.

Finding the percent equivalent value

a.

The percentage symbol (%) implies the value is divided by 100.

Therefore,

$$\begin{gathered} 70\%\times 1000=\frac{70}{100}\times 1000 \\ =700 \end{gathered}$$

Thus, 70% of 1000 adults is 700 adults.

Conversion of the fraction to percentage

b.

Of the total, 550 responded that shorts are unacceptable attire at the workplace.

The fraction of responses for shorts as an unacceptable attire is $\frac{550}{1000}$.

The percentage equivalent to fraction can be computed as:

$\frac{550}{1000}\times 100=55\%$

Thus, 55% of the respondents said that shorts are an unacceptable attire at the workplace.