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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.(1 point)

1 answer

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

Currently, you have completed \( 15%\) of the game in \( 23 \) minutes. We want to determine how long it will take to complete \( 100%\) of the game.

Let's denote the total time required to complete the game as \( t \) minutes.

The proportion can be set up as:

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

Now we can solve for \( t \):

  1. Cross-multiply:

\[ 15t = 100 \cdot 23 \]

  1. Calculate \( 100 \cdot 23 \):

\[ 100 \cdot 23 = 2300 \]

  1. Now the equation is:

\[ 15t = 2300 \]

  1. Divide both sides by \( 15 \):

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

  1. Calculate \( \frac{2300}{15} \):

\[ t \approx 153.33 \]

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