Tanner watched 1/4 of a movie in the morning, and he watched some at night. By the end of the day, he still had 2/3 of the movie to watch. How much of the movie did he watch at night?

Answer: he watched 1/12 of the movie at night.

Step-by-step explanation:

Let x represent how much of the movie that he watched at night.

Tanner watched 1/4 of a movie in the morning, and he watched some at night. This means that she had already watched

x + 1/4 = (4x + 1) / 4 of the movie by the end of the day. Therefore, what he has left to watch would be

1 - (4x + 1) / 4 = [4 - (4x + 1) ]/4

= (3 - 4x) / 4

By the end of the day, he still had 2/3 of the movie to watch, it means that

(3 - 4x) / 4 = 2/3

Cross multiplying, it becomes

3 (3 - 4x) = 4 * 2

9 - 12x = 8

12x = 1

x = 1/12