Question

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?

Answer 1

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
$\dfrac{8x}{8} \leq \dfrac{2,000}{8}$
x ≤ 250

Maximum amount of books they can rebind is 250 books

Answer 2

1000% sure it’s 250 suuuuuuuuuuuuuuuuuppppeerrrrrr sure trust me