To determine how many weeks it will take Menendez to save $135, we can solve the equation \(10w + 55 = 135\).
First, we will isolate \(w\) by subtracting 55 from both sides:
\[ 10w + 55 - 55 = 135 - 55 \]
This simplifies to:
\[ 10w = 80 \]
Next, we divide both sides by 10 to solve for \(w\):
\[ w = \frac{80}{10} = 8 \]
Thus, it will take Menendez 8 weeks to save enough money to buy the tablet.