Question

There are three times as many fiction books as non-fiction books in a library. 122 fiction books and 24 non-fiction books are loaned out. There are now twice as many non-fiction books as fiction books. How many books were in the library? i need an awnser quick ill mark you brainliest if you get it right

Answer 1

Answer:

176 books

Step-by-step explanation:

Let's call the number of fiction books 'F', and the number of non-fiction books 'N'. Then, we can write the following system of equations:

eq1:

$F = 3N$

eq2:

$2*(F - 122) = (N - 24)$

$2F - 244 = N - 24$

$2F = N + 220$

Using the 'F' value from the first equation, we have:

$6N = N + 220$

$5N = 220$

$N = 44\ books$

$F = 3N = 132\ books$

The total number of books is:

$F + N = 132 + 44 = 176\ books$