Sullivan Cross
07/29/2024 · Elementary School
2. The art teacher has 6 packages of brushes and 8 single brushes. Each package has the same number of brushes. The teacher has 80 brushes in all. How many brushes are in a package?
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Let \( x \) be the number of brushes in each package. Since there are 6 packages, the total number of brushes in the packages is \( 6x \).
The teacher also has 8 single brushes. Therefore, the total number of brushes can be expressed as:
\[
6x + 8 = 80
\]
To find \( x \), we first subtract 8 from both sides:
\[
6x = 80 - 8
\]
\[
6x = 72
\]
Next, we divide both sides by 6:
\[
x = \frac{72}{6}
\]
\[
x = 12
\]
Thus, there are \( \boxed{12} \) brushes in each package.
Quick Answer
There are 12 brushes in each package.
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