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Let's break down the problem step by step:

### Given Information:
- Campinas has 1 million inhabitants.
- 4% of the population lives in inadequate housing.
- On average, each household has 4 inhabitants.

### Part (a) - Adequate Housing:
We need to calculate how many households have adequate living conditions. 

1. **Total population**: 1,000,000 inhabitants.
2. **Percentage living in inadequate housing**: 4% of the total population.

To find the number of people living in inadequate housing:
\[
\text{Inadequate housing population} = 1,000,000 \times 0.04 = 40,000 \text{ people}
\]

The number of people living in adequate housing is:
\[
\text{Adequate housing population} = 1,000,000 - 40,000 = 960,000 \text{ people}
\]

Now, to calculate the number of households with adequate housing:
\[
\text{Number of adequate households} = \frac{960,000}{4} = 240,000 \text{ households}
\]

### Part (b) - Population Growth and New Houses Needed:
- The population is expected to grow by 10% over the next 10 years.
- The average household size remains 4 people.

First, calculate the projected population after the 10% growth:
\[
\text{New population} = 1,000,000 \times (1 + 0.10) = 1,100,000 \text{ people}
\]

Next, calculate how many new houses are needed to accommodate this growth:
- Since the population growth is 100,000 people (1,100,000 - 1,000,000),
- The number of new houses needed:
\[
\text{New houses needed} = \frac{100,000}{4} = 25,000 \text{ houses}
\]

Finally, these 25,000 houses must be built over 10 years, so:
\[
\text{Houses per year} = \frac{25,000}{10} = 2,500 \text{ houses per year}
\]

### Summary:
- (a) There are **240,000 households** with adequate conditions in Campinas.
- (b) **2,500 houses per year** need to be built over the next 10 years to accommodate the population growth.

Would you like further details on any of these steps or have additional questions? 

Here are some related questions to consider:
1. How would the number of houses needed change if the average household size changed?
2. What if the population growth were 15% instead of 10%? How would that affect the number of houses?
3. How many houses would be needed if only 3 people lived in each household on average?
4. What would happen if inadequate housing were reduced over time? How would it affect the yearly construction rate?
5. How much would the population need to grow for 3,000 houses to be required annually?

**Tip:** When dealing with percentages, it's helpful to always reference the whole population or quantity you're working with to ensure accuracy.

A cidade de Campinas tem 1 milhão de habitantes e estima-se que 4% de sua população viva em domicílios inadequados. Supondo-se que, em média, cada domicílio tem 4 moradores, pergunta-se: a) Quantos domicílios com condições adequadas tem a cidade de Campinas? b) Se a população da cidade crescer 10% nos próximos 10 anos, quantos domicílios deverão ser construídos por ano para que todos os habitantes tenham uma moradia adequada ao final desse período de 10 anos? Suponha ainda 4 moradores por domicílio, em média.

Learn how to calculate the number of adequate houses in Campinas and the number of new houses needed with a 10% population growth over 10 years. This problem involves percentage calculations, division, and population growth projections, making it suitable for Grades 9-11.

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