Indianapolis met high school has $10,000 budget for textbooks. it costs $8 to rebind a damaged book. if $8,000 is spent on new textbooks, what is the maximum amount of damaged textbooks can they afford to rebind?

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

x ≤ 250

Maximum amount of books they can rebind is 250 books

Yes, that is the correct formula. to solve this problem given the number of years, plug in the number of years for t and plug the whole thing into the