SOLUTION: Maisy bought a total of 12 fiction and non fiction books. The fiction books cost $12 each and the non fiction books cost $25 each. If she paid $248 altogether, how many of each kin

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Maisy bought a total of 12 fiction and non fiction books. The fiction books cost $12 each and the non fiction books cost $25 each. If she paid $248 altogether, how many of each kin      Log On


   

Question 958634: Maisy bought a total of 12 fiction and non fiction books. The fiction books cost $12 each and the non fiction books cost $25 each. If she paid $248 altogether, how many of each kind of book did she purchase?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
F=fiction; N=non-fiction
F+N=12
F=12-N
$12F+$25N=$248 Substitute for F.
$12(12-N)+$25N=$248
$144-$12N+$25N=$248 Subtract $144 from each side.
$13N=$104 Divide each side by 13.
N=8 ANSWER 1: She bought 8 non-fiction books.
F=12-n=12-8=4 ANSWER 2: She bought 4 fiction books.
CHECK:
$12F+$25N=$248
$12(4)+$25(8)=$248
$48+$200=$248
$248=$248