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)

Answer 1

To determine how long it will take to complete the game at the current rate, we can set up a proportional equation.

Let \( x \) be the total time in minutes it will take to complete the entire game.

We know:

• You have completed 15% of the game in 23 minutes.

From this, we can set up a proportion:

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

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

\[ 15x = 23 \times 100 \]

Calculating \( 23 \times 100 \):

\[ 23 \times 100 = 2300 \]

So the equation becomes:

\[ 15x = 2300 \]

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

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

Now, we perform the division:

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

So, it will take approximately 153.33 minutes to complete the game at the current rate.

Answer 2

make it an equation answer please

Answer 3

Certainly! Let's formulate it as a clear equation with the steps leading to the solution.

1. Set up the proportion: Let \( x \) be the total time to complete the game in minutes. \[ \frac{15}{100} = \frac{23}{x} \]

2. Cross-multiply: \[ 15x = 23 \times 100 \]

3. Calculate \( 23 \times 100 \): \[ 15x = 2300 \]

4. Divide by 15 to isolate \( x \): \[ x = \frac{2300}{15} \]

5. Calculate \( x \): \[ x \approx 153.33 \]

So, the equation leading to the solution is: \[ x = \frac{2300}{15} \quad \text{(approximately \( 153.33 \) minutes)} \]