Question

The school band is ordering sweatshirts for its members. The printing company charges a startup fee of $35, plus $12 per sweatshirt. The total cost of the sweatshirts was $395. What does the solution to this equation represent?

A. The total number of sweatshirts ordered.
B. The total cost of the startup fee.
C. The number of sweatshirts ordered to break even.
D. The total cost of the sweatshirts and the startup fee.

Answer 1

The solution to the equation represents the total cost of the sweatshirts and the startup fee.

Step-by-step explanation:

The solution to the equation represents the total cost of the sweatshirts and the startup fee. This can be found by adding the startup fee of $35 to the product of the number of sweatshirts ordered and the cost per sweatshirt of $12. In this case, since the total cost of the sweatshirts was $395, the equation would be:

Total Cost = Startup Fee + (Number of Sweatshirts * Cost per Sweatshirt)

$395 = $35 + (Number of Sweatshirts * $12)

To find the number of sweatshirts ordered, we can isolate the variable by subtracting the startup fee from both sides of the equation:

(Number of Sweatshirts * $12) = $395 - $35

(Number of Sweatshirts * $12) = $360

Dividing both sides of the equation by $12, we get:

Number of Sweatshirts = $360 / $12 = 30