Answer:
Total 156 people were surveyed.
Step-by-step explanation:
We are given the following in the question:
A survey was conducted about favorite book categories.
Out of which one fourth of total number of people surveyed or 39 people responded that mystery was their favorite category.
Let x be the total number of people surveyed.
Then, we can write
[tex]\text{People who like mystery} = 39 \\\\= \dfrac{1}{4}\times x\\\\\Rightarrow 39 = \dfrac{1}{4}\times x\\\\\Rightarrow x = 39\times 4\\\Rightarrow x = 156[/tex]
Thus, total 156 people were surveyed.