Respuesta :
Answer:
The greatest number of the books that could have been borrowed during the week is 36
Step-by-step explanation:
Let's create an equation which represent this problem, where will rest the book borrow and add the book returned to the 40 initial amount of book on Monday, to get the 22 book in the shelf on Saturday morning
40 (book on the shelf on Monday) - x (book borrowed) + 0.5 * x (50 % of the book was returned before Saturday) = 22 (books in the shelf on Saturday morning)
40 - x + 0.5 * x = 22
40 - 0.5*x = 22
18 = 0.5 * x
18/0.5 = x
36 = x
The amount of borrowed books is 36
Answer:
The greatest number of the books that could have been borrowed during the week are 36.
Step-by-step explanation:
Let the total number of books or N = 40
Let the number of borrowed books be = B
As given, the number of books available are greater than 22.
We get the following equation as per scenario:
[tex]\frac{B}{2}+(N-B) \geq 22[/tex]
=> [tex]B+2N-2B \geq 44[/tex]
=> [tex]2N-B \geq 44[/tex]
Substituting N = 40, we get ;
[tex]B\leq 36[/tex]
Therefore, the maximum possible number of borrowed books will be 36.
