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 took to complete your game at this rate.

1 answer

To find out how long it will take to complete the entire game, we can set up a proportion based on the information given:

You have completed \( \frac{1}{5} \) of the game in 23 minutes. Let \( x \) represent the total time (in minutes) to complete the entire game.

According to the information:

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

Now, solve for \( x \):

  1. Multiply both sides of the equation by 5 to eliminate the fraction:

\[ x = 23 \cdot 5 \]

  1. Calculate:

\[ x = 115 \]

Thus, it will take a total of 115 minutes to complete the entire game at the same rate.