Cameras R Us has a sale for 25% off camera bags, which is a discount of $20. Explain how you can set up a diagram to find the original cost of the camera bag. Indicate the number of columns necessary to fit the situation.

Answer 1

To find the original cost of the camera bag at Cameras R Us using a diagram, you can set up a column-based visual representation that helps illustrate the relationship between the original price, the discount percentage, and the final sale price.

Step-by-Step Diagram Setup:

1. Define the Columns: You will need three columns to effectively illustrate the situation:

   • Column 1: Original Cost (OC)
   • Column 2: Discount Percentage (DP)
   • Column 3: Amount Discounted (AD)

2. Fill in Known Values:

   • In Column 2 (Discount Percentage), you write 25%. This represents the percentage of the original cost that will be given as a discount.
   • In Column 3 (Amount Discounted), you write $20. This is the amount that the camera bag is discounted.

3. Calculate the Original Cost: To find the original cost (OC), you can use the formula: \[ AD = OC \times DP \]

   Rearranging this gives: \[ OC = \frac{AD}{DP} \] Substituting the known values into the formula, we first need to convert the percentage into a decimal:

   • 25% = 0.25

   Now substitute the values: \[ OC = \frac{20}{0.25} \]

4. Perform the Calculation: To perform the calculation: \[ OC = 20 \div 0.25 = 80 \]

Conclusion:

After filling in the diagram with the relevant columns and performing the calculation, you conclude that the original cost of the camera bag is $80.

Summary:

• Number of Columns: 3 (Original Cost, Discount Percentage, Amount Discounted).
• Calculation Method: Use the relationship between discount percentage and amount discounted to solve for the original cost.