document.write( "Question 1205955: You have 37 coins that are nickels, dimes, and pennies. The total value of the coins is $1.55. There are twice as many pennies as dimes. Find the number of each type of coin in the bank.\r
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Algebra.Com's Answer #843075 by ikleyn(52787) $\"\"$ $\"About$

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\n" ); document.write( "You have 37 coins that are nickels, dimes, and pennies.
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document.write( "Let D be the number of dimes.\r\n" );
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document.write( "Then the number of pennies is 2D, according to the problem.\r\n" );
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document.write( "Hence, the number of nickels is (27 - D - 2D) = 37-3D  (the remaining coins).\r\n" );
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document.write( "Now write the total money equations, in cents\r\n" );
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document.write( "    5*(37-3D) + 10*D + 2D = 155  cents.\r\n" );
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document.write( "    |   At this point, the setup is just complete.  |\r\n" );
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document.write( "Simplify this equation and find D\r\n" );
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document.write( "    185 - 15*D + 10*D + 2*D = 155\r\n" );
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document.write( "    -3*D = 155 - 185\r\n" );
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document.write( "    -3*D = -30\r\n" );
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document.write( "     D =  = 10.\r\n" );
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document.write( "ANSWER.  10 dimes, 20 pennies and 37-10-20 = 7 nickels.\r\n" );
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document.write( "CHECK for the total value  10*10 + 20*1 + 7*5 = 155 cents = $1.55.   ! correct !\r\n" );
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