document.write( "Question 1166493: a bank has nickels, dimes, and quarters. There are fewer dimes than nickels and three times as many quarters as dimes. If the total amount in the bank is $7.45, how many of each coin is there \n" ); document.write( "

Algebra.Com's Answer #791036 by ikleyn(52788) $\"\"$ $\"About$

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document.write( "Let x be the number of dimes.\r\n" );
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document.write( "Then the number of quarters is 3x.\r\n" );
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document.write( "Let y be the number of nickels.\r\n" );
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document.write( "Then we could write the total money equation in the form\r\n" );
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document.write( "    5y + 10x + 25*(3x) = 745  cents,  or\r\n" );
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document.write( "    5y + 85x           = 745,\r\n" );
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document.write( "which is the same as\r\n" );
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document.write( "    y + 17x = 149.\r\n" );
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document.write( "We know that x < y.\r\n" );
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document.write( "Make a table\r\n" );
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document.write( "    x, dimes    y, nickels = 149 - 17x\r\n" );
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document.write( "      1		132\r\n" );
document.write( "      2		115\r\n" );
document.write( "      3		98\r\n" );
document.write( "      4		81\r\n" );
document.write( "      5		64\r\n" );
document.write( "      6		47\r\n" );
document.write( "      7		30\r\n" );
document.write( "      8		13\r\n" );
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document.write( "This table is the list of possible answers.\r\n" );
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document.write( "Remember that the number of possible quarters is 3x.\r\n" );
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