Chapter 6.1, Problem 49STP

To determine

Find the number of students who vote for falcon.

Answer to Problem 49STP

The number of students that vote for falcon is $300$ out of $2000$ .

Explanation of Solution

Given:

It is given in the question that there are $2000$ students in the middle school of which the the students in falcon are $60$ .

Concept Used:

In this, use the concept of proportion or comparing the two term.

Calculation:

Here, the total number of student is $60+123+86+131=400$ . Now, assume that the answer will be proportional if $2000$ students are surveyed, then establish a proportion that,

  $\frac{60}{400}=\frac{x}{100}$ , where x is the number that predict the vote for the falcon in the expanded survey.

Now,

  $\begin{array}{l}\frac{60}{400}=\frac{x}{2000}\\ x\cdot 400=60\cdot 2000\\ x=\frac{60\times 2000}{400}\\ x=\frac{120000}{400}\\ x=300\end{array}$

Conclusion:

There will be $300$ votes.