Chapter 6.1, Problem 29IP

a.

To determine

Find the number of people whose new year resolution will get organized.

Answer to Problem 29IP

The number of people are $973$ .

Explanation of Solution

Given:

It is given in the question that there will be $2947$ people and the organized people is $33\%$ .

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, the percentage is already known and let the number be x .

  $\begin{array}{l}\frac{x}{2947}=\frac{33}{100}\\ x\cdot 100=33\cdot 2947\\ x=\frac{33\times 2947}{100}\\ x=\frac{97251}{100}\\ x\approx 973\end{array}$

Conclusion:

The number is $973$ .

b.

To determine

Find the number of people surveyed for reading or declutter.

Answer to Problem 29IP

The total number of people is $766$ .

Explanation of Solution

Given:

It is given in the question that there will be $2947$ people and the percentage of reading and declutter are $2\%and24\%$ .

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, the total percentage are $24+2=26\%$ . Let the number be x .

  $\begin{array}{l}\frac{x}{2947}=\frac{26}{100}\\ x\cdot 100=26\cdot 2947\\ x=\frac{26\times 2947}{100}\\ x=\frac{76622}{100}\\ x\approx 766\end{array}$

Conclusion:

The number is $766$ .