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.
To find out how long it will take to complete the video game at the current rate, we can set up the following equation:
x/5 = 23
Here, x represents the total time it will take to complete the game. Since you have completed 1/5 of the game in 23 minutes, we can say that the ratio of completed game time to the total game time is 1/5.
Now we can solve the equation:
x = 5 * 23
x = 115
Therefore, it will take approximately 115 minutes to complete the video game at the current rate.
To solve this problem, we can use the concept of proportions.
Let's assume the total time required to complete the game is represented by T minutes.
We are given that you have completed 1/5 of the game, which took 23 minutes. So, we can set up the proportion:
(1/5) game / 23 minutes = complete game / T minutes
To find the solution, we can cross-multiply and solve for T:
(1/5) game * T minutes = 23 minutes * complete game
T/5 = 23
Multiplying both sides by 5:
T = 5 * 23
T = 115
Therefore, it will take you approximately 115 minutes to complete the video game at the same rate.
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.