Photographer Cost 9A2159
1. **State the problem:** Emma wants to find the number of hours $h$ for which the total cost of hiring the local photographer equals the total cost of hiring the out-of-town student.
2. **Set up the equation:**
- Local photographer charges $120$ per hour, so total cost is $120h$.
- Out-of-town student charges $75$ per hour plus a $90$ travel fee, so total cost is $75h + 90$.
We want to find $h$ such that:
$$120h = 75h + 90$$
3. **Solve the equation:**
Subtract $75h$ from both sides:
$$120h - 75h = 90$$
$$45h = 90$$
Divide both sides by $45$:
$$h = \frac{90}{45} = 2$$
4. **Interpretation:**
The photo session needs to last **2 hours** for the total cost to be the same for both photographers.