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9. The number of books in a class library is 17 more than 3 times the number of students in the class. If 5 students are absent, each student can borrow exactly 4 books from the library. Find the number of students in the class.​

Respuesta :

rdacoder

Answer: 37 students in the class

Step-by-step explanation:

Let n = number of books,

Let s = number of students

We get the following expressions:

n = 3s + 17

4 = [tex]\frac{n}{s-5}[/tex]

Solve this system using substitution:

[tex]4=\frac{3s+17}{s-5}[/tex]

[tex]4(s-5) = \frac{3s+17}{s-5} (s-5)[/tex]

[tex]4s -20 = 3s+17\\[/tex]

[tex]s-37 = 0\\[/tex]

[tex]s=37[/tex]

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