https://file.aiquickdraw.com/mathbot/file/1725845639309oh7jej8q.jpg

I can read the math problems from the image. Here are the two questions:

**40. Problem Solving:**
Before a class, there are 8 people in a theater. Five groups of 4 people enter, and then three groups of 2 people leave. Evaluate the expression \( 8 + 5(4) - 3(2) \) to find how many people are in the theater.

**41. Modeling Real Life:**
The front door of a house is painted white and blue. Each window is a square with a side length of 7 inches. What is the area of the door that is painted blue?

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I'll start by solving these problems.

### Problem 40:
The expression provided is:
\[
8 + 5(4) - 3(2)
\]
1. Start with \( 5(4) \): Multiply 5 by 4, which gives 20.
2. Then, \( 3(2) \): Multiply 3 by 2, which gives 6.
3. Now, substitute into the expression: \( 8 + 20 - 6 \).

Now calculate:
\[
8 + 20 = 28
\]
\[
28 - 6 = 22
\]
So, there are 22 people in the theater.

### Problem 41:
Each window is a square with a side length of 7 inches. The area \( A \) of a square is given by:
\[
A = \text{side}^2
\]
Substitute the given side length:
\[
A = 7^2 = 49 \text{ square inches}.
\]
Thus, the area of each window that is painted blue is 49 square inches.

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Do you want more details or have any other questions?

Here are 5 related questions to expand your understanding:

1. How would the solution change if a different number of people entered and exited in problem 40?
2. What is the importance of grouping in the operations in problem 40?
3. How would you find the total area if multiple windows are painted blue?
4. What if the windows were rectangles instead of squares? How would that change the calculation?
5. How can you express the problem in algebraic terms to generalize it?

**Tip:** When solving problems with multiple operations, always follow the order of operations (PEMDAS).

40. Before a class, there are 8 people in a theater. Five groups of 4 people enter, and then three groups of 2 people leave. Evaluate the expression 8 + 5(4) - 3(2) to find how many people are in the theater.
41. The front door of a house is painted white and blue. Each window is a square with a side length of 7 inches. What is the area of the door that is painted blue?

Learn how to solve a basic arithmetic problem involving adding and subtracting people in a theater and a geometry problem calculating the area of a square window. Suitable for Grade 6 students.

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