let

x = the rent for one movie

y = the rent for one video game

One month Hong rented 4 movies and 8 video games for a total of $61:

4x + 8y = 61

The next month he rented 3 movies and 2 video games for a total of $25:

3x + 2y = 25

by solving the system of equations:

4x + 8y = 61

3x + 2y = 25

we find:

x = $4.875

y = $5.1875

click here to see the step by step solution of the system of equations:

the rental cost for each movie is $4.875.

the rental cost for each video game is $5.1875.