Chapter 7.3, Problem 43STP

To determine

To predict: the number of students who vote for the falcon.

Answer to Problem 43STP

Option C, 300 students vote for the falcon.

Explanation of Solution

Given:

Total number of students = 2000

  

1. 600
2. 400
3. 300
4. 200

Calculation:

The total number of students surveyed is $60+123+86+131=400.$

Let p is the percent and compare the number of students that voted for the falcon.

  $\begin{array}{l}\frac{60}{400}=\frac{p}{100}\\ 60\times 100=p\times 400\\ \text{ 6000}=400p\\ \frac{6000}{400}=\frac{400p}{400}\\ \text{ 15}=p\\ \end{array}$

The percent is 15.

If the base is 2000, let n is the part.

  $\begin{array}{l}\frac{n}{2000}=\frac{15}{100}\\ n\times 100=15.2000\\ \text{ 100}n=30000\\ \frac{100n}{100}=\frac{30000}{100}\\ n=300\\ \end{array}$

Conclusion:

Therefore, Option C, 300 students vote for the falcon.