document.write( "Question 1014812: A jar contains only nickels and dimes and there is 200 coins in the jar. The value is 14 dollars. How many nickels and dimes are in the jar? \n" ); document.write( "

Algebra.Com's Answer #631608 by ikleyn(52931) $\"\"$ $\"About$

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\n" ); document.write( "A jar contains only nickels and dimes and there is 200 coins in the jar. The value is 14 dollars. How many nickels and dimes are in the jar?
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document.write( "Let n = # of nickels and d = # of dimes.\r\n" );
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document.write( "Then your equations are \r\n" );
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document.write( " n +   d =  200,   (1)\r\n" );
document.write( "5n + 10d = 1400.   (2)\r\n" );
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document.write( "To solve this system, express n via d from (1): n = 200 - d, and substitute it into (2). You will get\r\n" );
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document.write( "5*(200-d) + 10d = 1400.\r\n" );
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document.write( "Simplify it:\r\n" );
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document.write( "1000 - 5d + 10d = 1400,\r\n" );
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document.write( "5d = 1400 - 1000 = 400,\r\n" );
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document.write( "d =  = 80.\r\n" );
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document.write( "Answer. 80 dimes and 200-80 = 120 nickels.\r\n" );
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