Problema Solution
Of the 1850 books in the library, there are four times as many books in the fiction section as are in the nonfiction section. Also there are 650 more books in the reference section than are in the nonfiction section. How many books are in each section?
Answer provided by our tutors
let
f = the number of books in the fiction section
n = the number of books in the non-fiction section
r = the number of books in the reference section
Of the 1850 books in the library, there are four times as many books in the fiction section as are in the nonfiction section
f = 4n
f + n + r = 1850
there are 650 more books in the reference section than are in the nonfiction section
r = 650 + n
plug f = 4n and r = 650 + n into f + n + r = 1850
4n + n + 650 + n = 1850
by solving we find
n = 200 books in the nonfiction section
click here to see the step by step solution of the equation
f = 4*200
f = 800 books in the fiction section
r = 650 + 200
r = 850 books in the reference section