document.write( "Question 1015813: A jar contains n nickels and d dimes. There are 22 coins in the jar, and the total value of the coins is $1.50. How many nickels and how many dimes are in the jar?
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Algebra.Com's Answer #632201 by ikleyn(52787) $\"\"$ $\"About$

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\n" ); document.write( "A jar contains n nickels and d dimes. There are 22 coins in the jar, and the total value of the coins is $1.50. How many nickels and how many dimes are in the jar?
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document.write( " n +   d =  22,   (1)\r\n" );
document.write( "5n + 10d = 150.   (2)\r\n" );
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document.write( "From (1), n = 22-d.  Substitute it into (2):\r\n" );
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document.write( "5*(22-d) + 10d = 150.\r\n" );
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document.write( "110 - 5d + 10d = 150.\r\n" );
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document.write( "5d = 150 - 110 = 40.\r\n" );
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document.write( "d =  = 8, n = 22 - 8 = 14.\r\n" );
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