document.write( "Question 1044926: Steve has $2.05 in quarters and nickels. He has 13 coins altogether. How many coins of each kind does he have? \n" ); document.write( "

Algebra.Com's Answer #660339 by ikleyn(52834) $\"\"$ $\"About$

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\n" ); document.write( "Steve has $2.05 in quarters and nickels. He has 13 coins altogether. How many coins of each kind does he have?
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document.write( "Let \"n\" be the number of nickels Steve has in his collection.\r\n" );
document.write( "Then the number of quarters is 13 - n.\r\n" );
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document.write( "The nickels contribute 5n cents to the total.\r\n" );
document.write( "The quarters contribute 25*(13-n).\r\n" );
document.write( "Altogether they make 5n + 25*(13-n) cents.\r\n" );
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document.write( "It is equal to 205 cents, according to the condition.\r\n" );
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document.write( "It gives you an equation\r\n" );
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document.write( "5n + 25*(13-n) = 205.\r\n" );
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document.write( "Simplify and solve it for n:\r\n" );
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document.write( "5n + 325 - 25n = 205.\r\n" );
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document.write( "-20n = 205 - 325,\r\n" );
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document.write( "-20n = -120,\r\n" );
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document.write( "n =  = 6.\r\n" );
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document.write( "Answer. 6 nickels and 13-6 = 7 quarters.\r\n" );
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\n" ); document.write( "\n" ); document.write( "For many other solved coin problems see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Coin problems\r
\n" ); document.write( "\n" ); document.write( "    - More Coin problems\r
\n" ); document.write( "\n" ); document.write( "    - Solving coin problems without using equations\r
\n" ); document.write( "\n" ); document.write( "    - Kevin and Randy Muise have a jar containing coins\r
\n" ); document.write( "\n" ); document.write( "    - Typical coin problems from the archive\r
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