Question
Of the 1500 books in the library, there are 3 times as many books in the fiction section as are in the nonfiction section. Also, there are 400 more books in the reference section than are in the nonfiction section. How many books are in each section?
Answers
GPT 3.5
Let x be the number of books in the nonfiction section.
The number of books in the fiction section is 3*x.
The number of books in the reference section is x+400.
In total, there are x+3*x+x+400=1500 books.
Combining like terms, we get 5*x+400=1500.
Subtracting 400 from both sides, we get 5*x=1100.
Dividing both sides by 5, we get x=<<220=220>>220 books in the nonfiction section.
There are 3*220=<<3*220=660>>660 books in the fiction section.
There are 220+400=<<220+400=620>>620 books in the reference section. Answer: \boxed{220, 660, 620}.
The number of books in the fiction section is 3*x.
The number of books in the reference section is x+400.
In total, there are x+3*x+x+400=1500 books.
Combining like terms, we get 5*x+400=1500.
Subtracting 400 from both sides, we get 5*x=1100.
Dividing both sides by 5, we get x=<<220=220>>220 books in the nonfiction section.
There are 3*220=<<3*220=660>>660 books in the fiction section.
There are 220+400=<<220+400=620>>620 books in the reference section. Answer: \boxed{220, 660, 620}.