document.write( "Question 146119: At Gwens garage sale, all books were one price, and all magazines were another. Harriet bought 4 books and 3 magazines for $1.45 and June bought 2 books and 5 magazines for $1.25 What was the price of a book and what was the price of a magazine? \n" ); document.write( "
Algebra.Com's Answer #106669 by oscargut(2103)![]() ![]() You can put this solution on YOUR website! Let x the price of the books and \n" ); document.write( " y the price of the magazines\r \n" ); document.write( "\n" ); document.write( " Harriet bought 4 books and 3 magazines for $1.45 \n" ); document.write( "then 4x+3y=1.45\r \n" ); document.write( "\n" ); document.write( " June bought 2 books and 5 magazines for $1.25 \n" ); document.write( "then 2x+5y=1.25\r \n" ); document.write( "\n" ); document.write( "system is: \n" ); document.write( "4x+3y=1.45 \n" ); document.write( "2x+5y=1.25 (-2)\r \n" ); document.write( "\n" ); document.write( "4x+3y=1.45 \n" ); document.write( "-4x-10y=-2.5\r \n" ); document.write( "\n" ); document.write( "adding bot equations:\r \n" ); document.write( "\n" ); document.write( "-7y=-1.05\r \n" ); document.write( "\n" ); document.write( "y = 0.15 \r \n" ); document.write( "\n" ); document.write( "using first eq \n" ); document.write( "4x+3(0.15)=1.45 \n" ); document.write( "4x=1 \n" ); document.write( "x=0.25\r \n" ); document.write( "\n" ); document.write( "Solution:\r \n" ); document.write( "\n" ); document.write( "The price of a book is 0.25\r \n" ); document.write( "\n" ); document.write( "The price of a magazine is 0.15\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |