document.write( "Question 1013548: Jason has 46 total coins with a mixture of dimes and quarters. The total value of his coins is $6.55. How many dimes and how many quarters does Jason have? \n" ); document.write( "

Algebra.Com's Answer #630368 by ikleyn(52797) $\"\"$ $\"About$

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\n" ); document.write( "Jason has 46 total coins with a mixture of dimes and quarters. The total value of his coins is $6.55.
\n" ); document.write( "How many dimes and how many quarters does Jason have?
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document.write( "Let d = # of dimes and q = # of quarters Jason has.\r\n" );
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document.write( "Then you have this system of two equations in two unknowns d and q:\r\n" );
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document.write( "  d +   q =  46,    (1)\r\n" );
document.write( "10d + 25q = 655.    (2)\r\n" );
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document.write( "From (1), express d = 46 - q and substitute it into (2). In this way, you get a single equation for q:\r\n" );
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document.write( "10*(46 - q) + 25q = 655,\r\n" );
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document.write( "460 - 10q + 25q = 655,\r\n" );
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document.write( "15q = 655 -460,\r\n" );
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document.write( "15q = 195,\r\n" );
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document.write( "q =  = 13.\r\n" );
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document.write( "Answer. Jason has 13 quarters and 46 - 13 = 33 dimes. \r\n" );
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