Question

In a recent survey of college-educated adults, 351 indicated that they regularly work more than 45hrs a week. If this represents 39% of those surveyed, how many people were in the survey?

Answer 1

Recall that the y% of x is given by the following expression:

`x\cdot(y)/(100)\text{.}`

Now, let S be the number of people that were in the survey, then, we know that 39% of S is 351, then we can set the following equation:

`351=S\cdot(39)/(100)\text{.}`

Multiplying the above equation by 100/39 we get:

`\begin{gathered} 351*(100)/(39)=S\cdot(39)/(100)*(100)/(39), \\ S=900. \end{gathered}`

Answer: 900.