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klemol [59]
3 years ago
12

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 t

extbooks, what is the maximum amount of damaged textbooks can they afford to rebind?
Mathematics
2 answers:
Rudiy273 years ago
7 0
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
Alekssandra [29.7K]3 years ago
4 0
1000% sure it’s 250 suuuuuuuuuuuuuuuuuppppeerrrrrr sure trust me
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