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The given question asks which situation can be represented by the equation:

\[
18x = 19 + 12x
\]

Let's first solve the equation for $ x $:

\[
18x - 12x = 19
\]
\[
6x = 19
\]
\[
x = \frac{19}{6} \approx 3.17
\]

Now, we will analyze the options to see which scenario corresponds to this equation.

### Option A:
- Krystal reads 12 pages per hour, and Jondo reads 18 pages per hour. The equation would represent when the total number of pages they both read becomes equal. However, this option does not match the equation provided since the right-hand side of the equation involves a constant term (19).

### Option B:
- Krystal pays a deposit of $19 plus $18 per hour for renting a room, while Jondo pays $12 per hour. This matches the equation since Krystal's cost is represented as $ 18x + 19 $ and Jondo's cost is $ 12x $. The equation can be interpreted as the point where their total costs become equal.

This is the correct scenario that matches the equation $ 18x = 19 + 12x $.

### Option C:
- Krystal installs 12 tiles per hour, Jondo installs 19 tiles per hour, and Jondo already has 18 tiles installed. This setup does not align with the given equation.

### Option D:
- Krystal makes $18 per hour tutoring, and Jondo makes $12 per hour, but Jondo already has $19. This option again does not correspond well to the equation structure.

### Conclusion:
The situation described in **Option B** is the correct one that can be represented by the equation $ 18x = 19 + 12x $.

---

Would you like more details on any part of this problem, or do you have further questions?

### Related Questions:
1. How do we interpret linear equations in real-world scenarios?
2. How can we solve systems of equations for multiple unknowns?
3. What are common mistakes made when interpreting word problems into equations?
4. How can different types of proportional relationships be represented with linear equations?
5. How would you graph the equation $ 18x = 19 + 12x $ and interpret its solution?

### Tip:
When translating word problems into equations, carefully identify what each variable represents and ensure the structure of the equation matches the described relationship.

Which situation can be represented by the equation 18x = 19 + 12x?

Explore how the equation 18x = 19 + 12x represents a real-world scenario with step-by-step solutions. Learn how linear equations are applied in different contexts, such as pricing and time calculations. Suitable for Grades 8-10 students.

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