Chapter 2.7, Problem 28P

Sixty-two students, out of 100 surveyed, chose pizza as their favorite lunch item. If the school has 1250 students, how many students would likely say that pizza is their favorite if the survey is a fair representation of the student body?

To determine

To find: The number of students likely to say that pizza is their favorite lunch item.

Answer to Problem 28P

775 students would likely to say pizza is their favorite.

Explanation of Solution

Given information: Sixty-two students, out of 100 surveyed, chose pizza as their favorite lunch item. The school has 1250 students.

Calculation:

Let the number of students in school who chose pizza as their favorite be x .

The ratio of the number of students who chose pizza to the number of students surveyed $=62:100$

The ratio of the number of students in school who chose pizza to the total number of students in school $=x:1250$

According to the problem,

  $\begin{array}{l}x:1250=62:100\\ \Rightarrow \frac{x}{1250}=\frac{62}{100}\\ \Rightarrow x\times 100=62\times 1250\\ \Rightarrow x=\frac{62\times 1250}{100}\\ \Rightarrow x=775\end{array}$

Thus, 775 students would likely to say that pizza is their favorite.