document.write( "Question 1035410: Kevin and Randy Muise have a jar containing
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document.write( "28 coins, all of which are either quarters or nickels.
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document.write( "The total value of the coins in the jar is 4.00.
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document.write( "How many of each type of coin do they have? \n" );
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Algebra.Com's Answer #650057 by ikleyn(52794)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Kevin and Randy Muise have a jar containing \n" ); document.write( "28 coins, all of which are either quarters or nickels. \n" ); document.write( "The total value of the coins in the jar is 4.00. \n" ); document.write( "How many of each type of coin do they have? \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Let n = the number of nickels.\r\n" ); document.write( "Then the number quarters is 28-n\r\n" ); document.write( "\r\n" ); document.write( "Nickels value is 5n.\r\n" ); document.write( "Quarters value is 25*(28-n).\r\n" ); document.write( "\r\n" ); document.write( "The \"total value equation\" is\r\n" ); document.write( "\r\n" ); document.write( "5n + 25*(28-n) = 400 (written in cents).\r\n" ); document.write( "\r\n" ); document.write( "5n + 700 - 25n = 400,\r\n" ); document.write( "\r\n" ); document.write( "-20n = 400 - 700,\r\n" ); document.write( "\r\n" ); document.write( "-20n = -300,\r\n" ); document.write( "\r\n" ); document.write( "n = 15. 15 nickels.\r\n" ); document.write( "\r\n" ); document.write( "And 28-15 = 13 quarters.\r\n" ); document.write( "\r\n" ); document.write( "Answer. 15 nickels and 13 quarters.\r\n" ); document.write( "\r\n" ); document.write( "Check. 5*15 + 25*13 = 400. OK!\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |