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Let's analyze the problem step by step.

### Information given:
- On the first day, the kit will cost **R$720,00**.
- On the second day, the kit will contain **3 more sensors** than the kit sold on the first day, but the **price of the kit remains the same** at **R$720,00**.
- The price of each sensor on the second day will be **R$20,00 less than** the price of each sensor on the first day.

### Goal:
We need to find out **how many sensors** are in the kit sold on the first day.

### Solution:
Let’s define:
- $ x $ = number of sensors in the kit on the **first day**.
- $ p_1 $ = price per sensor on the **first day**.
- $ p_2 = p_1 - 20 $ = price per sensor on the **second day**.

On the first day:
\[
x \cdot p_1 = 720 \quad \text{(Total price for the first day)}
\]

On the second day:
\[
(x + 3) \cdot p_2 = 720 \quad \text{(Total price for the second day)}
\]

Substituting $ p_2 = p_1 - 20 $ into the second equation:
\[
(x + 3) \cdot (p_1 - 20) = 720
\]

Now we have a system of equations:
1. $ x \cdot p_1 = 720 $
2. $ (x + 3) \cdot (p_1 - 20) = 720 $

Let's solve this system to find the value of $ x $. I will now calculate it.The system of equations yields two solutions, but only the realistic one applies to this situation (since the number of sensors and their price cannot be negative).

Thus, the valid solution is:
- $ x = 9 $
- $ p_1 = 80 $ (the price per sensor on the first day).

Therefore, the kit sold on the first day contains **9 sensors**.

Would you like further clarification or details on any step?

Here are 5 related questions to deepen understanding:
1. How would the total price change if the number of sensors increased by 5 on the second day?
2. What would the price per sensor be if the total cost of the kit was R$800 instead of R$720?
3. How can we calculate the new price of a kit if only the price per sensor drops by R$10 on the second day?
4. What if the kit included an extra type of sensor with a different price? How would you adjust the calculation?
5. How would you solve the problem if the store offered discounts based on the number of kits sold?

### Tip:
In word problems like these, defining variables clearly and translating the text into equations is crucial for solving them efficiently.

Uma loja de equipamentos eletrônicos participou como patrocinadora da OBR 2024, levando um kit composto por sensores (luz, ultrassônico, toque, acelerômetro, giroscópio, entre outros), para serem vendidos para os competidores. No primeiro dia de competição, cada kit custará R$720,00. No segundo dia de competição, para acelerar as vendas, a loja decide fazer com que o kit custe o mesmo preço, mas ele terá 3 sensores a mais do que o kit vendido no primeiro dia, fazendo com que o preço unitário de cada sensor saia por R$20,00 a menos do que o valor unitário de cada sensor no primeiro dia. Com essas informações, quantos sensores contém o kit vendido no primeiro dia da competição?

Solve this algebra problem involving system of equations to determine how many sensors are in the kit sold on the first day of a competition, given price differences across days. Suitable for high school students.

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