Sure, let's solve this step by step.
1. Identify the total budget:
The total decor budget is \[tex]$4,500.
2. Determine the fraction of the budget spent on the main stage backdrop:
The fraction spent on the main stage backdrop is \(\frac{5}{9}\).
3. Calculate the amount spent on the main stage backdrop:
To find the amount spent, multiply the total budget by the fraction spent.
\[
\text{Amount spent} = \text{Total Budget} \times \text{Fraction Spent} = 4500 \times \frac{5}{9}
\]
4. Perform the multiplication:
First, calculate the multiplication within the fraction. Since we know the result from the previous problem:
\[
4500 \times \frac{5}{9} = 2500
\]
Therefore, the amount spent on the main stage backdrop is \$[/tex]2,500.
So, the correct answer is:
- \$2,500
