Chapter 6.1, Problem 32IP

a.

To determine

Calculate the percentage of the people boycotted.

Answer to Problem 32IP

The percentage of people boycotted is $40\%$ .

Explanation of Solution

Given:

It is given in the question that the number of people boycotted are $497$ from the totsl people of $1242$ .

Concept Used:

In this, use the concept of percent proportion such that the ratio of given two number will equal to the ratio of $p/100$ .

Calculation: Here,

  $\begin{array}{l}\frac{497}{1242}=\frac{p}{100}\\ p\cdot 1242=497\cdot 100\\ p=\frac{497\times 100}{1242}\\ p=\frac{49700}{1242}\\ p\approx 40\%\end{array}$

Conclusion:

The percentage is $40\%$ .

b.

To determine

Find the number of people who signed e − mail petition.

Answer to Problem 32IP

The number of people are $53$ .

Explanation of Solution

Given:

It is given in the question that the number of people signed email petition are $265$ and the percentage for it is $20\%$ .

Concept Used:

In this, use the concept of percent proportion such that the ratio of given two number will equal to the ratio of $p/100$ .

Calculation:

Here,

  $\begin{array}{l}\frac{x}{265}=\frac{20}{100}\\ x\cdot 100=265\cdot 20\\ x=\frac{265\times 20}{100}\\ x=\frac{5300}{100}\\ x=53\end{array}$

Conclusion:

The number is $53$ .

c.

To determine

Calculate the number of people who contact an official.

Answer to Problem 32IP

The number of the people are $293$ .

Explanation of Solution

Given: It is given in the question that the number of contact official are $182$ from the total people of $2000$ .

Concept Used:

In this, use the concept of proportion disguise.

Calculation: Here, it has to be assume that the ratio of people who would contact an official to the total number of people will be proportional if a greater number of people were interviewed.

  $\begin{array}{l}\frac{182}{1242}=\frac{x}{2000}\\ x\cdot 1242=182\cdot 2000\\ x=\frac{182\times 2000}{1242}\\ x=\frac{364000}{1242}\\ x\approx 293\end{array}$

Conclusion:

The number is $293$ .