https://r2.erweima.ai/mathbot/image/1725991296413utb9xpo8.jpg

The problem from the image can be summarized as follows:

- A store sold 220 televisions from three models: **ULED**, **QLED**, and **LD**. 
- The store earned **247,250 euros** from these sales.
- A **ULED** TV costs **1,250 euros**.
- A **QLED** TV is **10% cheaper** than a ULED, meaning it costs \( 1250 \times 0.90 = 1125 \, \text{euros} \).
- An **LD** TV is **20% cheaper** than a ULED, meaning it costs \( 1250 \times 0.80 = 1000 \, \text{euros} \).
- The number of QLED TVs and LD TVs sold is **three times** the number of ULED TVs sold.

We need to find the number of televisions sold for each model.

Let:
- \( x \) be the number of **ULED** TVs sold.
- \( y \) be the number of **QLED** TVs sold.
- \( z \) be the number of **LD** TVs sold.

From the problem, we know:
1. The total number of TVs sold: 
   \[
   x + y + z = 220
   \]
2. The relation between QLED, LD, and ULED TVs:
   \[
   y + z = 3x
   \]
3. The total revenue from the sales: 
   \[
   1250x + 1125y + 1000z = 247250
   \]

We can solve this system of equations to find \(x\), \(y\), and \(z\). Let's proceed to calculate that.The solution to the system of equations is:

- **55 ULED** TVs were sold.
- **108 QLED** TVs were sold.
- **57 LD** TVs were sold.

Do you need further details or explanations? Here are five related questions you might explore:

1. How would the solution change if the store sold 300 televisions instead of 220?
2. What would happen if the prices of QLED and LD were reduced further by 5% each?
3. How could you model the relationship between sales and price using functions?
4. Can we derive a general formula to solve similar problems with different prices and total sales?
5. How would the result change if the revenue had been 300,000 euros instead?

**Tip:** Always double-check your system of equations to ensure they match the problem conditions before solving.

Una tienda de televisores ha obtenido 247250 euros por la venta de 220 televisores de sus modelos ULED, QLED y LD. Un televisor del modelo ULED cuesta 1250 euros y los otros dos modelos son un 10% y un 20% más baratos que el modelo ULED, respectivamente. Sabemos que la suma de la cantidad de televisores QLED y de televisores LD vendidos es igual al triple de los televisores ULED vendidos. Halla el número de televisores de cada modelo que se han vendido.

Learn how to solve a system of equations to find the number of ULED, QLED, and LD televisions sold in a store that earned 247,250 euros from selling 220 TVs. The ULED TV costs 1250 euros, with QLED and LD models priced at 10% and 20% less, respectively. Suitable for high school students in Grades 9-11.

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