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The problem in the image states the following:

In a town, each inhabitant was initially allocated **60 liters of water per day**. Currently, the population has increased by **40 inhabitants**, and now each person is allocated **3 liters less** (i.e., 60 - 3 = **57 liters per day** per inhabitant). We are asked to determine the original number of inhabitants in the town, assuming water consumption is constant over time.

### Let's break it down:

1. Let \( x \) represent the original number of inhabitants.
2. Initially, the total water consumption was \( 60 \times x \) liters per day.
3. Now, the population has increased by 40, so the current population is \( x + 40 \).
4. The current water allocation per person is 57 liters per day, so the total water consumption is \( 57 \times (x + 40) \) liters per day.

Since the total water consumption remains constant, we can set up the following equation:

\[
60x = 57(x + 40)
\]

### Solving for \( x \):

1. Expand both sides:
   \[
   60x = 57x + 2280
   \]

2. Subtract \( 57x \) from both sides:
   \[
   3x = 2280
   \]

3. Solve for \( x \):
   \[
   x = \frac{2280}{3} = 760
   \]

Thus, the original number of inhabitants was **760**.

Do you want further details on the solution, or do you have any questions?

Here are 5 related questions to explore further:
1. What would happen if the population increased by 100 instead of 40?
2. How much total water is consumed by the town after the population increase?
3. What if the water consumption per inhabitant was reduced by 5 liters instead of 3?
4. How can we generalize this problem to any amount of population increase and change in water consumption?
5. What are the environmental implications of reduced water allocation per inhabitant?

**Tip**: Setting up equations based on constant quantities is a useful strategy in problems where change occurs but certain variables (like total water consumption here) remain constant.

En un pueblo correspondía a cada habitante 60 litros de agua por día. En la actualidad la población ha aumentado en 40 habitantes y corresponde a cada uno tres litros menos. Asumiendo que el consumo es constante a través del tiempo. Determine la cantidad de habitantes del pueblo.

Learn how to solve an algebra problem that involves determining the original population of a town based on water consumption data. The problem uses concepts of linear equations to find the initial number of inhabitants before a population increase. Suitable for students in Grades 9-10.

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