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?

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) (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
3x + 2y = 95
3(83-3y) + 2y = 95
249-95 = 7y
154 = 7y
y = $22, cost of geometry book, Algebra book is $17
CHECKING our answer***
3x + 2y = 95
51 + 44 = 95

Answer by richwmiller(17219) (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

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