Q17. - Algebra 1

Question

At the mall, 700 of the 2000 people shopping were under the age of 21. What percent of the shoppers were under 21?

Step-by-Step Solution

Answer

The 35% percent of the shoppers were under 21.

Step 1. Define the concept.

A percent is a ratio that compares a number to 100. 

 

$\frac{a}{b}=\frac{p}{100}$, where $\frac{a}{b}$ is the fraction and p is the percent equivalent of the fraction.

Step 2. Multiply the fraction by 100.

To find the percent p, first divide the number of shoppers whose age was under 21 by the total shoppers and then multiply the fraction by 100.

$$\begin{gathered} \frac{700}{2000}=\frac{p}{100} \\ \frac{700}{2000}\times 100=p \end{gathered}$$ 

 

Step 3. Simplify for p .

Further simplify the expression.

$$\begin{gathered} p=\frac{70000}{2000} \\ =35\% \end{gathered}$$ 

 

Therefore, the fraction as a percent is $35\%$.