Sunny is collecting rare gems to add to his large collection. Sunny currently has 76 gyms and would like to get to 100 gyms by collecting an additional 4 gyms per month. Write an equation and solve for the number of months. It takes sunny to collect 100 Jim's equation chin in time it takes.

1 answer

Let's define the variables:

  • Let \( x \) represent the number of months Sunny needs to collect the additional gyms.

Sunny currently has 76 gyms and wants to have a total of 100 gyms. He collects 4 gyms per month. We can set up the equation based on the information given:

\[ 76 + 4x = 100 \]

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

  1. Subtract 76 from both sides of the equation: \[ 4x = 100 - 76 \] \[ 4x = 24 \]

  2. Divide both sides by 4: \[ x = \frac{24}{4} \] \[ x = 6 \]

So, it will take Sunny 6 months to collect enough gyms to reach his goal of 100 gyms.