https://file.aiquickdraw.com/mathbot/file/1726452538747zwzgkydd.jpg

The image shows a word problem asking for the signup fee paid by Luitgard for a gym membership. Here is a breakdown of the problem:

- **Monthly fee:** $11
- **Total amount paid after 4 months:** $59
- **Goal:** Find the signup fee.

Let's solve the problem step by step.

### Step 1: Define variables
Let the signup fee be $ S $.

### Step 2: Set up the equation
In 4 months, Luitgard paid the signup fee plus the monthly fee for 4 months. The total payment is $59. So, the equation becomes:
\[
S + 4 \times 11 = 59
\]
\[
S + 44 = 59
\]

### Step 3: Solve for $ S $
Subtract 44 from both sides:
\[
S = 59 - 44
\]
\[
S = 15
\]

### Conclusion:
The signup fee is **$15**.

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Luitgard purchases a gym membership. She pays a signup fee and a monthly fee of $11. After 4 months, she has paid a total of $59. What was her signup fee?

Learn how to find the signup fee in this gym membership word problem. Luitgard pays $11 per month, and after 4 months, her total payment is $59. Discover the algebraic approach to solving for the unknown signup fee in this detailed solution, perfect for students in Grades 6-8.

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