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.