Lawson Logan
03/10/2023 · High School
The drama club is printing t-shirts for its members. The printing company charges a certain amount for each shirt plus a setup fee of \( \$ 40 \). There are 21 students in the drama club. If there are 21 students in the club, and the \( t \)-shirt order costs a total of \( \$ 187 \), how much does each \( t \)-shirt cost? \( \$ 5 \) \( \$ 7 \) \( \$ 11 \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Let \( x \) be the cost of each t-shirt. The total cost for the t-shirts can be expressed as:
\[
\text{Total Cost} = \text{Setup Fee} + (\text{Cost per Shirt} \times \text{Number of Shirts})
\]
Given that the setup fee is \( \$ 40 \), the number of shirts is 21, and the total cost is \( \$ 187 \), we can set up the equation:
\[
187 = 40 + 21x
\]
To solve for \( x \), first subtract the setup fee from both sides:
\[
187 - 40 = 21x
\]
\[
147 = 21x
\]
Next, divide both sides by 21:
\[
x = \frac{147}{21}
\]
Calculating the right side:
\[
x = 7
\]
Thus, the cost of each t-shirt is \( \$ 7 \).
The answer is \( \$ 7 \).
Quick Answer
The cost of each t-shirt is \( \$ 7 \).
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Submit