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