Question

In a recent survey of college-educated adults, 210 indicated that they regularly work more than 50 hrs a week. If this represents 35% of those surveyed, how many people were in the survey?

Answer 1

We are given that there are 210 people representing 35% of a survey. To determine the total number of people "x" we will use the following relationship:

$x\times\frac{35}{100}=210$

Now we solve for "x" first by multiplying both sides by 100:

$\begin{gathered} x\times35=210\times100 \\ x\times35=21000 \end{gathered}$

Now we divide both sides by 35:

$\begin{gathered} \frac{x\times35}{35}=\frac{21000}{35} \\ x=600 \end{gathered}$

Therefore, there were 600 people in the survey.