Megan baby-sat this weekend. She earned $12 an hour plus an additional $32. If she made a
total of $140, how long did she work for?

Let the number of hours Megan worked be represented by $ x $.

We know:
- She earned $12 per hour.
- She received an additional $32.
- Her total earnings were $140.

We can set up the following equation:

\[
12x + 32 = 140
\]

### Step-by-Step Solution:

1. **Subtract 32 from both sides** to isolate the term with $ x $:
   \[
   12x = 140 - 32
   \]
   \[
   12x = 108
   \]

2. **Divide both sides by 12** to solve for $ x $:
   \[
   x = \frac{108}{12}
   \]
   \[
   x = 9
   \]

### Answer:
Megan worked for **9 hours**.

Would you like further details or have any questions?

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Here are some related questions to explore:

1. How much would Megan earn if she worked an extra hour?
2. If Megan received a $20 bonus, how would her total earnings change?
3. How many hours would she need to work to make $200, with the same rate and additional amount?
4. If Megan’s hourly rate increased to $15, how long would she need to work to make $140?
5. What would her total earnings be if she worked 10 hours?

**Tip:** When solving word problems, start by defining variables and writing an equation based on the information provided.

Megan baby-sat this weekend. She earned $12 an hour plus an additional $32. If she made a total of $140, how long did she work for?

Discover how to solve a real-world problem involving a babysitting job, using linear equations to determine the hours worked. Given that Megan earns $12 per hour plus an additional $32, this problem guides students through isolating the variable to find her total work time. Ideal for students in Grades 6-8.

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