Math Problem Statement

Complete the table with missing values for 'Precio Original', '% Descuento', 'Descuento', and 'Precio Descontado'. Given certain discount rates and original prices, calculate the missing values accordingly.

Solution

Let's complete the missing values in the table based on the given data. Here’s how to compute each value:

  1. Descuento (Discount): Multiply the "Precio Original" by the "% Descuento" for each row. \text{Descuento} = \text{Precio Original} \times \left(\frac{\text{% Descuento}}{100}\right)

  2. Precio Descontado (Discounted Price): Subtract the "Descuento" from the "Precio Original". Precio Descontado=Precio OriginalDescuento\text{Precio Descontado} = \text{Precio Original} - \text{Descuento}

Let’s go row by row to fill in the calculations.


Calculations

Row g:

  • Precio Original: Unknown, we’ll denote it as xx.

  • % Descuento: 20%

  • Precio Descontado: 420420

    Using the formula: x(x×0.20)=420x - (x \times 0.20) = 420 x×0.80=420x \times 0.80 = 420 x=4200.80=525x = \frac{420}{0.80} = 525

    So, Precio Original for row g is $525.

Row h:

  • Precio Original: Unknown, we’ll denote it as yy.

  • % Descuento: 40%

  • Precio Descontado: 155155

    Using the formula: y(y×0.40)=155y - (y \times 0.40) = 155 y×0.60=155y \times 0.60 = 155 y=1550.60=258.33y = \frac{155}{0.60} = 258.33

    So, Precio Original for row h is approximately $258.33.


Completed Table

Let me know if you need any further clarification or if you'd like the table formatted for you.

Would you like more details on any of these calculations, or do you have any questions?

Here are some related questions that might expand your understanding:

  1. How would you calculate the discount amount if only the final price and the original price are given?
  2. How does changing the discount percentage affect the discounted price in each case?
  3. Can you solve for the original price given a final price and a discount rate in general cases?
  4. What other methods can you use to determine discounts without using percentages?
  5. How do compounded discounts differ from a single percentage discount?

Tip: Always verify calculations for discounts by recalculating with both original and discounted prices to ensure accuracy.

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Math Problem Analysis

Mathematical Concepts

Percentages
Discount Calculation
Algebra

Formulas

Descuento = Precio Original * (Porcentaje de Descuento / 100)
Precio Descontado = Precio Original - Descuento

Theorems

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Suitable Grade Level

Grades 6-8