document.write( "Question 37806: At Gwen's garage sale, all books were one price and all magazines were another price. Harriet bought four books and hree 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?
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Algebra.Com's Answer #23359 by fractalier(6550)\"\" \"About 
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Let
\n" ); document.write( "B = # of books and
\n" ); document.write( "M = # of magazines
\n" ); document.write( "Then we have
\n" ); document.write( "4B + 3M = 1.45
\n" ); document.write( "2B + 5M = 1.25
\n" ); document.write( "Then let us multiply the second equation by two and subtract them
\n" ); document.write( "4B + 3M = 1.45
\n" ); document.write( "-(4B + 10M = 2.50)
\n" ); document.write( "so that
\n" ); document.write( "-7M = -1.05
\n" ); document.write( "and
\n" ); document.write( "M = .15
\n" ); document.write( "Plugging this into either equation gives
\n" ); document.write( "4B + 3(.15) - 1.45
\n" ); document.write( "4B + .45 = 1.45
\n" ); document.write( "4B = 1.00
\n" ); document.write( "B = .25
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