SOLUTION: 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 boug

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Question 277416: 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.
(I need to see how you came up with your answer please)
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
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.
(I need to see how you came up with your answer please)

let the cost of the books be x
And the cost of the magazoines be y
Harriet------------ 4x+3y= 1.45-------- 1
JUne-----------------2x+5y=1.25----------2
Multiply eq 2 by 2
4x+10y=2.5 -----------------3
subtract eq. 3 from eq 1
-7y= 1.45-2.5
-7y= -1.05
y= -1.05/-7
y= 0.15 or 15 cents
2x+5y= 1.25
2x+5*0.15 = 1.25
2x= 1.25-0.75
2x= 0.5
x=0.5/2
x= 0.25 or 25 cents