Based on the given information, you can write the following inequality:
13 + x ≤ 75
where x is the money for the video game and 13 is the amount, in dollars of the new book. Their sum can not axceed $75.
Solve the inequality for x, a follow:
13 + x ≤ 75 subtract 13 both sides and simplify
x ≤ 75 - 13
x ≤ 62
Hence, Dana has $62 to spend on a vide game.