Question

The environmental science club is printing T-shirts for it's 15 members. The printing company charges a certain amount for each shirt plus a setup fee of $20. If the T-shirt order costs a total of $162.50, how much does the company charge for each shirt?

Answer 1

Answer:

Step-by-step explanation:

Let $X$ be the cost of each shirt. From the information provided in the problem, we can setup the following equation:

$15X + 20 = 162.50$

Solving for $X$ will give us the answer:

$15X = 142.50$

$X = 9.5$

Answer 2

The amount the company charges per shirt is $9.50

There are two types of costs in this question:

1. The fixed cost : this is the setup cost. It does not change with the amount of tee-shirt order.
2. The variable cost : this is the cost per t-shirt. It increases with t-shirt order.

The total cost of making a t-shirt = fixed cost + variable cost

• fixed cost = setup fee = $20
• Variable cost = cost per shirt x total shirts made
• s x 15 = 15s
• total cost = $162.50

$162.50 = $20 + $15s

Combine similar terms

$162.50 - $20 = $15s

$142.50 = $15s

s = $142.50 / 15

s = $9.50

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