SOLUTION: John paid $83 for one algebra and three geometry books. He paid $95 for three algebra and two geometry books. What is the cost of each book? How do I solve this?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: John paid $83 for one algebra and three geometry books. He paid $95 for three algebra and two geometry books. What is the cost of each book? How do I solve this?      Log On


   

Question 838406: John paid $83 for one algebra and three geometry books. He paid $95 for three algebra and two geometry books. What is the cost of each book? How do I solve this?
Found 2 solutions by ewatrrr, richwmiller:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Let x represent cost of Algebra book and y the cost of a geometry book

Question States:

 x + 3y = 83   0r  x+=+83+-+3y

3x + 2y = 95

3(83-3y) + 2y = 95

  249-95 = 7y

     154 = 7y

       y = $22, cost of geometry book, Algebra book is $17 83-3%2A22

CHECKING our answer***

 3x + 2y = 95

 51 + 44 = 95

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
Ask John how much he paid for each book.
John should also be able to solve this problem using algebra since he bought 4 algebra books.
1a+3g=83
3a+2g=95
3a+9g=83*3


3a+9g=249
3a+2g=95
7g=154
g=22
a+66=83
a=17
check
51+44=95
ok