SOLUTION: please help me solve this word problem Books and magazines. At Gwen’s garage sale, all books were one price, and all magazines were another price. Harriet bought four books

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Finance -> SOLUTION: please help me solve this word problem Books and magazines. At Gwen’s garage sale, all books were one price, and all magazines were another price. Harriet bought four books       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 179493: please help me solve this word problem
Books and magazines. At Gwen’s garage sale, all books
were one price, and all magazines were another price.
Harriet bought four books and three magazines for $1.45,
and June bought two books and five magazines for $1.25.
What was the price of a book and what was the price of a
magazine?
Answer by josmiceli(6786) About Me  (Show Source):
You can put this solution on YOUR website!
Let b= the price of a book
Let m= the price of a magazine
given:
(1) 4b+%2B+3m+=+145
(2) 2b+%2B+5m+=+125
Multiply (2) by 2 and subtract
(1) from (2)
(2) 4b+%2B+10m+=+250
(1) -4b+-+3m+=+-145
7m+=+105
m+=+15
And from (2)
(2) 2b+%2B+5%2A15+=+125
2b+=+125+-+75
2b+=+50
b+=+25
The magazines are 15 cents each and the books
are 25 cents each
check:
(1) 4b+%2B+3m+=+145
4%2A25+%2B+3%2A15+=+145
100+%2B+45+=+145
145+=+145
OK