document.write( "Question 363261: a girl has 65 coins that are either quarters or dimes. She has a total of $10.85. How many of each type of coin does she have? \n" ); document.write( "
Algebra.Com's Answer #259013 by Mr.positive(13) You can put this solution on YOUR website! A girl has 65 coins that are either quarters or dimes. \n" ); document.write( "She has a total of $10.85. \n" ); document.write( "How many of each type of coin does she have?\r \n" ); document.write( "\n" ); document.write( "Let x represent the number of dimes- dimes: x \n" ); document.write( "Then, quarters: 65 – x \n" ); document.write( " dimes + quarters = $10.85\r \n" ); document.write( "\n" ); document.write( "Dimes are worth 0.10 and quarters are worth 0.25. \n" ); document.write( "Therefore, multiply x by 0.10 and (65-x) by 0.25 to \n" ); document.write( "find out how much you have. \n" ); document.write( " 0.10x + 0.25(65 – x) = 10.85 \n" ); document.write( " Combine like terms and solve for x. \n" ); document.write( " 0.10x + 16.25 - 0.25x = 10.85 \n" ); document.write( " -0.15x + 16.25 = 10.85 \n" ); document.write( " -0.15x + 16.25 – 16.25 = 10.85 – 16.25 \n" ); document.write( " -0.15x = -5.40 \n" ); document.write( " x = 36 \n" ); document.write( "dimes: x \n" ); document.write( "quarters: 65 – x\r \n" ); document.write( "\n" ); document.write( "There are 36 dimes and 65 – 36= 29 quarters!\r \n" ); document.write( "\n" ); document.write( "mathteacher2010@aol.com \n" ); document.write( " \n" ); document.write( " |