You are playing a new video game. It says that you have completed 1/5

Question

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

To find out how long it will take to complete the video game at the current rate, we can set up a proportion based on the information given.

You've completed \( \frac{1}{5} \) of the game in 23 minutes. Let \( x \) be the total time to complete the game.

We can set up the equation:

\[ \frac{1}{5} = \frac{23}{x} \]

Now, we can solve for \( x \).

1. Cross-multiply:

\[ 1 \cdot x = 5 \cdot 23 \]

2. This simplifies to:

\[ x = 115 \]

So, it will take a total of 115 minutes to complete the game.

To verify, we can check if \( \frac{1}{5} \) of 115 is indeed 23:

\[ \frac{1}{5} \times 115 = 23 \]

Thus, it confirms that the total time to complete the game at the current rate is 115 minutes.