document.write( "Question 771486: a fruit dealer sold 9 dozen lemons and 16 dozen oranges for$17.40 . the following day he sold ,at the same prices,11 dozen lemons 20 dozen oranges for #21.60.find the prices of his lemons and oranges?\r
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Algebra.Com's Answer #470257 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Dozen Lemons = x \n" ); document.write( "Dozen Oranges = y \n" ); document.write( "9x + 16y = 1740....1 \n" ); document.write( "11x + 20y = 2160....2 \n" ); document.write( "Multiply (1) by 11 \n" ); document.write( "Multiply (2) by 9 \n" ); document.write( "99x + 176y = 19140....3 \n" ); document.write( "99x + 180y = 19440....4 \n" ); document.write( "Subtract (4) from (3) \n" ); document.write( " 4y = 300 \n" ); document.write( " y = 75. \n" ); document.write( "Substitute y = 75 \n" ); document.write( "into Eq(1) \n" ); document.write( "9x + 16y = 1740 \n" ); document.write( "9x + 1200 = 1740 \n" ); document.write( "9x = 1740 - 1200 \n" ); document.write( "9x = 540 \n" ); document.write( "x = 60 \n" ); document.write( "A dozen lemons cost 60 cents \n" ); document.write( "A dozen oranges cost 75 cents. \n" ); document.write( "Hope this helps. \n" ); document.write( ":-) \n" ); document.write( " |