document.write( "Question 396503: A collection of nickels and dimes total $5.95. If there are 5 times as many nickels as dimes, then how many of each coin is there? \n" ); document.write( "
Algebra.Com's Answer #281542 by MathTherapy(10552)![]() ![]() You can put this solution on YOUR website! A collection of nickels and dimes total $5.95. If there are 5 times as many nickels as dimes, then how many of each coin is there?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let the amount of dimes be D\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then the amount of nickels are 5D\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since the coins total $5.95, we then have: .1(D) + .05(5D) = 5.95\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ".1D + .25D = 5.95\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ".35D = 5.95\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, D or dimes = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "and nickels = 17 * 5 = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------- \n" ); document.write( "Check \n" ); document.write( "--------------\r \n" ); document.write( "\n" ); document.write( "Dimes: 17 = 17 * 10_______$1.70 \r \n" ); document.write( "\n" ); document.write( "Nickels: 85 = 85 * 5______$4.25 \r \n" ); document.write( "\n" ); document.write( "Total of coins___________$5.95 \n" ); document.write( " |