Problema Solution
A library contains 3000 books in 3 categories: fiction, nonfiction and poetry. There are 300 more fiction books than fiction books, and 30% fewer poetry books than nonfiction books. How many books are there in each category.
Answer provided by our tutors
let
x = number of fiction books
y = number of non fictions books
z = number of poetry books
the total number of books is 3000
x + y + z = 3000
300 more fiction books than nonfiction books
x = 300 + y
30% fewer poetry books than nonfiction books
z = y - 0.3*y
by solving the system of equations
x + y + z = 3000
x = 300 + y
z = y - 0.3*y
we find
x = 1300 fiction books
y = 1000 non-fiction books
z = 7000 poetry books
there are 1300 fiction books, 1000 non-fiction books and 7000 poetry books.