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The problem reads:

"A company specializes in preparing coffee blends. Using Colombian, Brazilian, and Kenyan coffee, the company wants to market 1 kg packages with a cost of €8.50 per package. The price per kilogram of each type of coffee is, respectively, €10, €6, and €8. Knowing that the quantity of Colombian coffee in the blend must be three times that of Brazilian coffee, calculate the percentage of each type of coffee to be used in the blend."

### Let's define variables for the amounts (in kilograms) of each type of coffee:
- Let \( x \) be the amount of **Brazilian** coffee.
- Let \( 3x \) be the amount of **Colombian** coffee, since it must be three times the amount of Brazilian coffee.
- Let \( y \) be the amount of **Kenyan** coffee.

### We have the following conditions:
1. The total amount of coffee is 1 kg:
   \[
   x + 3x + y = 1
   \]
   Simplifying this equation:
   \[
   4x + y = 1 \quad \text{(Equation 1)}
   \]

2. The total cost of the blend is €8.50 per kilogram. The cost is determined by the prices of each type of coffee:
   - Colombian coffee costs €10 per kg.
   - Brazilian coffee costs €6 per kg.
   - Kenyan coffee costs €8 per kg.
   
   So, the total cost equation is:
   \[
   10(3x) + 6x + 8y = 8.50
   \]
   Simplifying:
   \[
   30x + 6x + 8y = 8.50
   \]
   \[
   36x + 8y = 8.50 \quad \text{(Equation 2)}
   \]

### Solving the system of equations:
We have:
1. \( 4x + y = 1 \)
2. \( 36x + 8y = 8.50 \)

Let's solve these equations step by step.It seems like I can’t do more advanced data analysis right now. Please try again later. However, I can guide you through the steps to solve this system manually if you'd like!

Would you like the detailed steps for solving this system of equations, or do you have any other questions about the problem? Here are 5 questions that could help expand your understanding:

1. What would happen if the blend had a different price per kilogram?
2. How would the solution change if the ratio between Colombian and Brazilian coffee were different?
3. Can you generalize this type of problem for any number of coffee types?
4. How can the concept of weighted averages be applied here?
5. What if the company wanted to minimize costs while maintaining quality standards?

**Tip**: Solving systems of linear equations is often easiest using substitution or elimination methods, especially when there are two variables involved!

Una empresa está especializada en la preparación de mezclas de café. Utilizando café colombiano, brasileño y keniata, la empresa quiere comercializar paquetes de 1 kg con un coste de 8,50 € el paquete. El precio de un kilo de cada clase de café es, respectivamente, de 10 €, 6 € y 8 €. Sabiendo que la cantidad de café colombiano de la mezcla ha de ser el triple de la de café brasileño, calcula el porcentaje de cada tipo de café que ha de utilizarse en la mezcla.

Resuelve un problema de mezcla de café con los precios de 10 €, 6 €, y 8 € por kilo, donde la cantidad de café colombiano es el triple que la de café brasileño. El coste del paquete debe ser de 8,50 € y se utiliza un sistema de ecuaciones lineales para encontrar el porcentaje de cada tipo de café.

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