document.write( "Question 1169013: A bag of coins (nickels and dimes only) is worth $3.20. There are three less than twice as many dimes as nickels. How many of the coins are dimes? \n" ); document.write( "

Algebra.Com's Answer #793685 by ikleyn(52787) $\"\"$ $\"About$

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\n" ); document.write( "A bag of coins (nickels and dimes only) is worth $3.20. There are three less than twice as many dimes
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document.write( "For a moment, add mentally three dimes to the collection.\r\n" );
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document.write( "Then you will have $3.50 in total.\r\n" );
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document.write( "And you can group then the coins in sets, containing 2 dimes and 1 nickel in each group.\r\n" );
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document.write( "Each such a group is worth  2*10+5 = 25 cents;  so the number of groups is   = 14.\r\n" );
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document.write( "    From this point, there is only one step to the \r\n" );
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document.write( "ANSWER.  14 nickels and 2*14 - 3 = 25 dimes.\r\n" );
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document.write( "CHECK.  14*5 + 10*25 = 320 cents = $3.20.   ! Correct !\r\n" );
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