document.write( "Question 1157529: Amy has a collection of coins consisting of quarters and dimes. She has twice as many quarters as dimes. If the total value of her collection is $150, how many of each kind does she have? \n" ); document.write( "

Algebra.Com's Answer #780403 by ikleyn(52794) $\"\"$ $\"About$

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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 quarters is 2d, according to the condition.\r\n" );
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document.write( "Then we can write the money equation for the total in the form\r\n" );
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document.write( "    10d + 25*(2d) = 15000   cents,  or\r\n" );
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document.write( "    10d + 50d = 15000,\r\n" );
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document.write( "    60d       = 15000\r\n" );
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document.write( "      d       = 15000/60 = 250.\r\n" );
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document.write( "ANSWER.  250 dimes and 2*250 = 500 quarters.\r\n" );
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document.write( "CHECK.   250*10 + 500*25 = 15000 cents.    ! Precisely correct !\r\n" );
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