Problema Solution
There are 200 books on a shelf. There are 6 more fiction books than 8 times the non-fiction books. How many non-fiction books are on the shelf. Write an equation for the situation and then solve.
Answer provided by our tutors
let
f = the number of fiction books, f is integer, f>= 0
n = the number of non-fiction books, n is integer, n>=0
There are 200 books on a shelf
f + n = 200
There are 6 more fiction books than 8 times the non-fiction books
f = 8n + 6
by solving the system of equations:
f + n = 200
f = 8n + 6
we find
f = 178.44
n = 21.56
click here to see the step by step solution of the system of equations
the solution is not an integer thus the problem has no integers solutions.