Question

set up the percent proportion for the following application problem. do not try to solve for any unknowns.
in a poll of 200 people, 34.7% said that they get their news from television. find the number of people who said they get their news from television.

set up the percent proportion.

box / box = box / 100

Explanation:

Step1: Recall percent proportion formula

The percent proportion is \(\frac{\text{part}}{\text{whole}}=\frac{\text{percent}}{100}\). Here, the "whole" is the total number of people in the poll, the "part" is the number of people who get news from television (unknown, let's call it \(n\)), and the percent is \(34.7\). The total number of people (whole) is \(200\).

Step2: Substitute values into the formula

Substitute part \(= n\), whole \(= 200\), and percent \(= 34.7\) into \(\frac{\text{part}}{\text{whole}}=\frac{\text{percent}}{100}\). So we get \(\frac{n}{200}=\frac{34.7}{100}\).

Answer:

\(\frac{n}{200}=\frac{34.7}{100}\) (where \(n\) is the number of people who said they get their news from television)