Posted by **Bianca** on Tuesday, July 24, 2007 at 3:02am.

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?

Let x be the book price and y be the magazine price, both in cents. Your statements about the two purchases can be written

4x + 3y = 145

and

2x + 5y = 125

Now solve those two equations for x and y. A good first step would be to convert (double both sides of) the second equation to give you

4x + 10 y = 250

Combining that with the first equation can eliminate the x variable and give you

7 y = 105

y = 15 cents

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