Question

You are playing a new video game. It says that you have completed 1/5 of the game. You have played for 23 minutes. Write and solve an equation to find how long it will take to complete your video game at this rate.

Answer 1

Let's let "x" represent the total amount of time it takes to complete the video game.

The game says we have completed 1/5 of the game, which means we have 1/5 of the total time remaining.

So, the time remaining in minutes can be expressed as (1/5)x.

Since we have already played for 23 minutes, the equation becomes:
(1/5)x = x - 23

Now we can solve for x:
Multiply both sides of the equation by 5 to eliminate the fraction:
5(1/5)x = 5(x - 23)
x = 5x - 115

Rearrange the equation by subtracting 5x from both sides:
x - 5x = -115
-4x = -115

Divide both sides of the equation by -4:
x = (-115)/(-4)
x = 28.75

Therefore, it will take approximately 28.75 minutes to complete the video game at this rate.