document.write( "Question 994316: There are total of 41 coins in the piggy bank that consists of nickels, dimes, and quarters. The total value is $4.95. The number of dimes is seven less than the number of quarters. Find the number of nickels dimes and quarters in the piggy bank \n" ); document.write( "

Algebra.Com's Answer #808273 by ikleyn(52788) $\"\"$ $\"About$

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\n" ); document.write( "There are total of 41 coins in the piggy bank that consists of nickels, dimes, and quarters.
\n" ); document.write( "The total value is $4.95. The number of dimes is seven less than the number of quarters.
\n" ); document.write( "Find the number of nickels dimes and quarters in the piggy bank
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\n" ); document.write( "\n" ); document.write( " It is a typical problem to be solved using only one single unknown and only one single equation.\r
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document.write( "Let x be the number of quarters.\r\n" );
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document.write( "Then the number of dimes is (x-7), according to the condition.\r\n" );
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document.write( "The nickels are the rest coins, and their number is  (41-x-(x-7)) = (48-2x).\r\n" );
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document.write( "Having it, you write the total money equation\r\n" );
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document.write( "   25x + 10(x-7) + 5*(48-2x) = 495   cents.\r\n" );
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document.write( "Simplify and solve\r\n" );
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document.write( "    25x + 10x - 70 + 5*48 - 10x = 495\r\n" );
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document.write( "          25x                   = 495 + 70 - 5*48 = 325\r\n" );
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document.write( "            x                                     =  = 13.\r\n" );
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document.write( "ANSWER.  13 quarters, 6 dimes and the rest 41 - 13 - 6 = 22  coins are nickels.\r\n" );
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document.write( "CHECK.  22*5 + 6*10 + 13*25 = 495 cents, in total.    ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is how this problem is intended and is expected to be solved.\r
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\n" ); document.write( "\n" ); document.write( "It is intended for young students, who didn't learn the conception of system of equations yet,\r
\n" ); document.write( "\n" ); document.write( "and the major goal of such problems is to teach such young students TO THINK.\r
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