document.write( "Question 1122495: the number of dimes and the number of quarters that erin has earned in tips are consecutive even integers. She has more quarters than dimes. The total value of her coins is $7.50.How many dimes and quarters does she have? \n" ); document.write( "
Algebra.Com's Answer #738619 by ikleyn(52908) You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "Let (2n) and (2*(n+1)) are the numbers of dimes and quarters, according to the condition.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then your \"money\" equation is\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "10*(2n) + 25*(2*(n+1)) = 750 cents.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Simplify and solve for \"n\".\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "20n + 50n + 50 = 750,\r\n" ); document.write( "\r\n" ); document.write( "70n = 750 - 50 = 700 ====> n = 700/70 = 10.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Anser. 20 dimes and 22 quarters.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved. // Check the answer on your own.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |