document.write( "Question 1055022: Alex has four times as many quarters as nickels and five more dimes than nickels in his coin bank. If he has $12.00 in nickels, dimes and quarters in the coin bank, how many of each coin does he have ? \n" ); document.write( "

Algebra.Com's Answer #670231 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Alex has four times as many quarters as nickels and five more dimes than nickels in his coin bank.
\n" ); document.write( "If he has $12.00 in nickels, dimes and quarters in the coin bank, how many of each coin does he have ?
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document.write( "For a moment, take off 5 dimes from the collection (mentally).\r\n" );
document.write( "The value of the remaining coins in the collection will be\r\n" );
document.write( "1150 cents.\r\n" );
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document.write( "Then the number of quarters is four times the number of nickels \r\n" );
document.write( "and  the number of (remaining) dimes is equal to the number of nickels.\r\n" );
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document.write( "It means that you can group the remaining coins in the sets each consisting of \r\n" );
document.write( "1 nickel, 1 dime and 4 quarters. \r\n" );
document.write( "Each such set worth is 4*25+10+5 = 115 cents. \r\n" );
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document.write( "How much such sets are there among the remaining coins?\r\n" );
document.write( "But of course,  = 10.\r\n" );
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document.write( "Having this, you can easily complete the solution ( ! Mentally !)\r\n" );
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