https://file.aiquickdraw.com/mathbot/file/1729174074273s52fv39k.jpg

The problem presented in the image can be summarized and solved as follows:

A contractor bought 8.2 square feet (ft²) of sheet metal. She has used 3.7 ft² and has $72 worth of sheet metal remaining. The equation provided, $ 8.2x - 3.7x = 72 $, represents how much sheet metal is remaining and its cost, where $ x $ is the cost per square foot.

Let's break it down:

1. The equation $ 8.2x - 3.7x = 72 $ simplifies to:
   \[
   (8.2 - 3.7)x = 72
   \]
   \[
   4.5x = 72
   \]

2. Solve for $ x $ (the cost per square foot):
   \[
   x = \frac{72}{4.5} = 16
   \]

Thus, the cost of the sheet metal is **$16 per square foot**.

Would you like more details or have any questions?

Here are 5 related questions to expand the understanding:
1. How would the total cost change if the contractor had bought 10 ft² of sheet metal?
2. What would the equation look like if the remaining cost was $90 instead of $72?
3. How much would the remaining sheet metal be worth if the cost per square foot was $20?
4. How would the problem change if she had used 5 ft² of sheet metal instead of 3.7 ft²?
5. What if the contractor bought a different type of material with a varying price per square foot?

**Tip:** Always simplify the given equation to its most basic form to make the calculations easier to manage.

A contractor bought 8.2 square feet of sheet metal. She has used 3.7 square feet so far and has $72 worth of sheet metal remaining. How much does sheet metal cost per square foot?

Solve a linear equation to determine the cost per square foot of sheet metal. A contractor bought 8.2 ft² of metal, used 3.7 ft², and has $72 worth of material left. Learn how to calculate the cost per unit based on the remaining amount.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation