The local library had a sale to get rid of the books that were slightly damaged it's on paper back books for two dollars and hardcover books for five dollars each the library raised $271 and sold 89 bucks how many hardcover books were sold

31

Step-by-step explanation:

Let h hardcover books sold and p paperbacks sold

total of 89 books, so that we can write:

h + p = 89

or p = 89 - h

Also, paperbacks cost 2 and hardcovers cost 5 for a total of 271, so we can write:

2p + 5h = 271

Now replacing first on this equation, we can solve for h:

2p + 5h = 271

2 (89 - h) + 5h = 271

178 - 2h + 5h = 271

3h = 93

h = 93/3

h = 31

Hence,

31 hardcover books were sold