To determine how many magazines the Salem library can buy, you divide the total amount of money the library has by the cost of each magazine.
The formula is:
\[ \text{Number of magazines} = \frac{\text{Total money}}{\text{Cost per magazine}} \]
Substituting the known values:
\[ \text{Number of magazines} = \frac{616}{8} \]
Now, performing the division:
\[ \frac{616}{8} = 77 \]
Therefore, the Salem library will be able to buy 77 magazines.