Final answer:
The total value of the furniture sold by Dennis is calculated by dividing the extra amount he made ($115.00) by the percentage this amount represents (0.05), resulting in a total value of $2,300.00.
Step-by-step explanation:
To calculate the total value of the furniture Dennis sold, we need to set up a proportion where $115.00 is 5% of the total value. The formula to calculate the percent of a number is:
Total Value = Part / Percentage
Here, the 'Part' is $115.00, and the 'Percentage' is 5% (or 0.05 when converted to a decimal). Now, we solve for the Total Value:
$115.00 = Total Value × 0.05
To find the Total Value, divide $115.00 by 0.05:
Total Value = $115.00 / 0.05
Total Value = $2,300.00
Therefore, the correct answer is A. $2,300.00 - this is the total value of the furniture that Dennis sold.