You are playing a new video game. It says that you have completed 15 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 provided.

You have completed \(15\) out of \(100\) (assuming the game is 100% complete) in \(23\) minutes.

Let \(x\) be the total time (in minutes) required to complete the game. The relationship can be expressed as:

\[ \frac{15}{100} = \frac{23}{x} \]

Now, cross-multiply to solve for \(x\):

\[ 15x = 100 \cdot 23 \]

Calculating the right side:

\[ 100 \cdot 23 = 2300 \]

Now substituting that back into the equation gives us:

\[ 15x = 2300 \]

Next, divide both sides by 15 to isolate \(x\):

\[ x = \frac{2300}{15} \]

Calculating this:

\[ x = 153.33 \text{ minutes} \]

Thus, it will take approximately \(153.33\) minutes to complete the video game at the current rate.