Question

Dennis made an extra $245.00 for selling furniture. The extra $245.00 was 7% of the total value of the furniture he sold. What was the total value of the furniture Dennis sold?

Answer 1

To find the total value of the furniture Dennis sold, convert 7% to a decimal (0.07) and divide $245 (the extra money made) by 0.07 to get the total sales value, which is $3500.

Step-by-step explanation:

The student asked how to determine the total value of the furniture Dennis sold given that he made an extra $245.00, which represents 7% of the total value. To find the total value, you first need to recognize that 7% is the part (the commission), and $245.00 is the whole (total sales).

Step 1: Convert 7% to its decimal form by dividing by 100, which gives us 0.07.

Step 2: Use the formula for finding the whole when the part and the percentage are known:

Part = (Percentage / 100) × Whole

You need to rearrange the formula to solve for Whole:

Whole = Part / (0.07)

Step 3: Substitute the values into the equation and calculate:

Whole = $245.00 / 0.07

Whole = $3500

Therefore, the total value of the furniture Dennis sold is $3500.

Answer 2

Option A

Step-by-step explanation:

Dennis made an extra $245.00 for selling furniture. The extra $245.00 was 7% of the total value of the furniture he sold. What was the total value of the furniture Dennis sold?

245 = 0.07x

divide both sides by 0.07:

245/0.07 = 0.07x/0.07

x = $3,500

Option A