Dana went shopping and has at most $75 to spend. She spends $13 on a new bookand wants to buy a video game also. Write and solve an inequality to represent themost amount of money, x, he has left to spend on a video game.

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.