Write an inequality expression for the problem
The budget for textbooks can not be higher than 10,000, that means it can be less than or equal to 10,000.
textbooks budget ≤ 10,000
The budget for textbooks consists of budget for new books and budget for rebinding the damage ones.
new book + rebinding ≤ 10,000
The budget for new books is $8,000
8,000 + rebinding ≤ 10,000
For an instance, there are x books to be rebinded, for a book it costs $8
8,000 + 8x ≤ 10,000
Solve the inequality
Now we should find the value of x to know the maximum amount of damaged textbooks they can afford to rebind.
8,000 + 8x ≤ 10,000
substract both side with 8,000
8,000 - 8,000 + 8x ≤ 10,000 - 8,000
8x ≤ 2,000
divide both side by 8
8x ≤ 2,000
[tex] \dfrac{8x}{8} \leq \dfrac{2,000}{8} [/tex]
x ≤ 250
Maximum amount of books they can rebind is 250 books
