College

Each student in a class checked out 4 library books. Unfortunately, 2 books were lost, and only 94 were returned. How many students are in the class?

Choose the correct equation:
A. [tex]4s + 2 = 94[/tex]
B. [tex]2s + 4 = 94[/tex]
C. [tex]4(s - 2) = 94[/tex]
D. [tex]4s - 2 = 94[/tex]
E. [tex]4(s + 2) = 94[/tex]

Choose the correct number of students:
1. 21 students
2. 23 students
3. 45 students
4. 25 students
5. 24 students

Answer :

To solve the problem, let's determine how many students are in the class based on the information provided:

1. Understand the problem:
- Each student checked out 4 library books.
- A total of 2 books were lost.
- The remaining number of books returned is 94.

2. Set up an equation:
- Let [tex]\( s \)[/tex] represent the number of students.
- Each student checked out 4 books, so the total number of books initially is [tex]\( 4s \)[/tex].
- Since 2 books were lost, the equation representing the books returned is:
[tex]\[
4s - 2 = 94
\][/tex]

3. Solve the equation:
- Add 2 to both sides to account for the lost books:
[tex]\[
4s = 94 + 2
\][/tex]
[tex]\[
4s = 96
\][/tex]
- Divide both sides by 4 to solve for [tex]\( s \)[/tex]:
[tex]\[
s = \frac{96}{4}
\][/tex]
[tex]\[
s = 24
\][/tex]

4. Conclusion:
- The number of students in the class is 24.

Based on this step-by-step solution, there are 24 students in the class. So the correct answer is: 5. 24 students.