document.write( "Question 221298: A coin operated washing machine contains $19.95 in nickels and quarters. If there is one less nickel than 3 times the number of quarters, how many of each are there? \n" ); document.write( "
Algebra.Com's Answer #166050 by MathTherapy(10552)![]() ![]() You can put this solution on YOUR website! A coin operated washing machine contains $19.95 in nickels and quarters. If there is one less nickel than 3 times the number of quarters, how many of each are there? \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let the amount of quarters be Q\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since there is one less nickel than 3 times the number of quarters, then the amount of nickels = 3Q - 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, since the value of the nickels and quarters is $19.95, we'll have:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ".25(Q) + .05(3Q - 1) = 19.95\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ".25Q + .15Q - .05 = 19.95\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ".4Q - .05 = 19.95\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ".4Q = 19.95 + .05\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ".4Q = 20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The amount of quarters, or Q = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The amount of nickels = |