document.write( "Question 549337: Betty has $20 in dimes, quarters, and half dollars. She has 110 coins in all. There are 2 less dimes than six times the number of half dollars. How many of each coin does she have? \n" ); document.write( "
Algebra.Com's Answer #357649 by Edwin McCravy(20060)\"\" \"About 
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Betty has $20 in dimes, quarters, and half dollars.
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document.write( "10d + 25q + 50h = 2000\r\n" );
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\n" ); document.write( "She has 110 coins in all.
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document.write( "d + q + h = 110\r\n" );
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\n" ); document.write( "There are 2 less dimes than six times them number of half dollars.
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document.write( "d = 6h - 2\r\n" );
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document.write( "So we have this system of equations:\r\n" );
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document.write( "10d + 25q + 50h = 2000\r\n" );
document.write( "d + q + h = 110\r\n" );
document.write( "d = 6h - 2\r\n" );
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document.write( "Arrange them like this:\r\n" );
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document.write( "10d + 25q + 50h = 2000\r\n" );
document.write( "  d +   q +   h =  110\r\n" );
document.write( "  d       -  6h =   -2\r\n" );
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document.write( "Can you solve that system? If not post again asking how.\r\n" );
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document.write( "Solution:\r\n" );
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document.write( "d = 70, q = 28 and h = 12\r\n" );
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document.write( "So there are 70 dimes, 28 quarters and 12 half dollars.\r\n" );
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document.write( "Checking:\r\n" );
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document.write( " 70 dimes makes         $7\r\n" );
document.write( " 28 quarters makes      $7\r\n" );
document.write( " 12 half dollars makes  $6\r\n" );
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document.write( "110 coins makes        $20\r\n" );
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document.write( "Six times the number of half dollars = 6×12 = 72\r\n" );
document.write( "2 less than 72 is 70 and that is the number of dimes.\r\n" );
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document.write( "Edwin
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