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)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( " |