Question

Joshua watched 1 3 of a movie in the morning, and he watched some more at night. By the end of the day, he still had 1 5 of the movie left to watch. How much of the movie did Joshua watch at night

Answer 1

We can start solving the problem by using algebra. Let x be the total length of the movie in minutes. Then we know that:

1/3 of the movie is x/3 minutes.

1/5 of the movie is x/5 minutes.

We are told that Joshua watched 1/3 of the movie in the morning and had 1/5 of the movie left to watch at night. Therefore, we can set up the equation:

x/3 + y = x/5, where y is the length of the movie that Joshua watched at night.

We can then solve for y by isolating it on one side:

y = x/5 - x/3

We know that 1/3 + 1/5 = 8/15.

We can simplify by multiplying both sides of the equation by 15:

y = (8/15)*x = 8x/15

We can conclude that Joshua watched 8/15 or approximately 53.33% of the movie at night.