document.write( "Question 1092795: There are 44 coins in a purse that contains nickles, dimes, and quarters. There are twice as many dimes as quarters and 4 more nickles than quarters. How many coins of each type are in the purse? \n" ); document.write( "

Algebra.Com's Answer #707448 by ikleyn(52803) $\"\"$ $\"About$

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document.write( "Let Q be the number of quarters.\r\n" );
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document.write( "Then the number of dimes is 2Q, and the number of nickels is Q+4.\r\n" );
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document.write( "Collect all coins:\r\n" );
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document.write( "Q + 2Q + (Q+4) = 44.\r\n" );
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document.write( "Simplify and solve for Q:\r\n" );
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document.write( "4Q + 4 = 44  ====>  4Q = 44-4 = 40  ====>  Q =  = 10.\r\n" );
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document.write( "Answer.  10 quarters, 2*10 = 20 dimes and 10+4 = 14 nickels.\r\n" );
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