document.write( "Question 1200174: Randy has a handful of dimes and nickels valuing $4.15.He has 7 more dimes than he has nickels.How many of each coin does he have? \n" ); document.write( "

Algebra.Com's Answer #834221 by ikleyn(52834) $\"\"$ $\"About$

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\n" ); document.write( "Randy has a handful of dimes and nickels valuing $4.15.
\n" ); document.write( "He has 7 more dimes than he has nickels. How many of each coin does he have?
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document.write( "There are  x nickels  and  (x+7)  dimes.\r\n" );
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document.write( "The total money equation is\r\n" );
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document.write( "    5x + 10*(x+7) = 415  cents.\r\n" );
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document.write( "Simplify this equation and find x\r\n" );
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document.write( "    5x + 10x + 70 = 415\r\n" );
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document.write( "      15x         = 415 - 70 \r\n" );
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document.write( "      15x         =    345\r\n" );
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document.write( "        x         =    345/15 = 23.\r\n" );
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document.write( "ANSWER.  23 nickels and 30 dimes.\r\n" );
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document.write( "CHECK.  23*5 + 30*10 = 115 + 300 = 415 cents.  ! correct !\r\n" );
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