Chapter 7, Problem 4CST

To determine

To select:The correct answer from the given choices.

Answer to Problem 4CST

Option H. $\text{95}$ people is the correct answer.

Explanation of Solution

Given information:

The information given in the question:

In a survey of $380$ people,

  $25\%$ enjoy reading before going to sleep.

The options given for the answer:

F.

  $25\text{ people}$ G.

  $76\text{ people}$ H.

  $\text{95 people}$ I.

  $\text{355 people}$

As per the problem,

Total number of people surveyed = $380$

Percent of people who enjoy reading before going to sleep = $25\%$

To calculate the number of people who enjoy reading before going to sleep

Write the proportion

  $\frac{a}{b}=\frac{p}{100}$

Substitute $\text{380 for }b\text{ and 25 for }p$ ,

  $\frac{a}{380}=\frac{25}{100}$

Multiply each side by $100$

  $100\cdot \frac{a}{380}=\frac{25}{100}\cdot 100$

Simplify,

  $\text{a=95}$ .

That is,

  $\text{95}$ people out of $380$ enjoy reading before going to sleep.

Hence,

Option H. $\text{95}$ people is the correct answer.