document.write( "Question 1173399: There are 8 more nickels than dimes in a piggy bank. In total, there is $1.60. How many nickels? Make
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document.write( "sure to define your variable, write an equation, solve the equation and write a concluding statement. \n" );
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Algebra.Com's Answer #798624 by ikleyn(52814)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Since the problem asks about ONE unknown and instructs \r \n" ); document.write( "\n" ); document.write( " to use ONE equation, I will solve the problem accordingly.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Let x be the number of nickels.\r\n" ); document.write( "\r\n" ); document.write( "Then the number of dimes is (x-8).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The total money equation is\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 5x + 10(x - 8) = 160 cents.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Simplify and solve\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 5x + 10x - 80 = 160\r\n" ); document.write( "\r\n" ); document.write( " 15x = 160 + 80 = 240\r\n" ); document.write( "\r\n" ); document.write( " x = 240/15 = 16.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. 16 nickels.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "CHECK. 5*16 + 10*(16-8) = 80 + 80 = 160 cents, in total. ! Correct !\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |