document.write( "Question 203989: Jon throws all his nickels and dimes in a jar at home each day. He counted all his coins one day and found that he had collected $42.35. If there were five times as many nickels as dimes how many of each coin does he have? \n" ); document.write( "

Algebra.Com's Answer #852453 by ikleyn(53318) $\"\"$ $\"About$

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\n" ); document.write( "Jon throws all his nickels and dimes in a jar at home each day.
\n" ); document.write( "He counted all his coins one day and found that he had collected $42.35.
\n" ); document.write( "If there were five times as many nickels as dimes how many of each coin does he have?
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\n" ); document.write( "\n" ); document.write( " This is a typical example of problems on coins
\n" ); document.write( " that can be solved MENTALLY in couple of lines without using any equations.\r
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document.write( "According to the problem, we can group all coins in sets each containing 5 nickels and 1 dime.\r\n" );
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document.write( "Each such a group is worth  5*5 + 10 = 25 + 10 = 35 cents.\r\n" );
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document.write( "Now we can determine the number of such groups of coins.  It is\r\n" );
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document.write( "     =  +  =  + 1 =  + 1 =  + 1 = 120 + 1 = 121.\r\n" );
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document.write( "So, there are 121 dimes and 5*121 = 605 nickels.     ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved mentally in 5 lines.\r
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\n" ); document.write( "\n" ); document.write( "It is nice and instructive, isn't ?\r
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