Final answer:
After accounting for the delivery charge, the community theater can buy a maximum of 35 t-shirts with their budget of $325.
Step-by-step explanation:
To determine how many t-shirts can be purchased with a budget of no more than $325, we need to consider both the cost per t-shirt and the total delivery charge. The cost of one t-shirt is $8, and there is a fixed delivery charge of $45 for the order.
First, subtract the delivery charge from the total budget: $325 - $45 = $280. Now, with the remaining $280, we divide that by the cost of one t-shirt, which is $8.
$280 ÷ $8 = 35 t-shirts.
Therefore, the community theater can buy a maximum of 35 t-shirts without exceeding their budget.