document.write( "Question 1158536: Robert has $14.60 in nickels, dimes, quarters and loonies. He has 4 times as many dimes as nickels, 3 times as many quarters as nickels and 3 less loonies than nickels. He has 69 coins all together. How many of each coin does he have? Answer algebraically and show your work. \n" ); document.write( "

Algebra.Com's Answer #781480 by ikleyn(52864) $\"\"$ $\"About$

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\n" ); document.write( "Robert has $14.60 in nickels, dimes, quarters and loonies. He has 4 times as many dimes as nickels,
\n" ); document.write( "3 times as many quarters as nickels and 3 less loonies than nickels. He has 69 coins all together.
\n" ); document.write( "How many of each coin does he have? Answer algebraically and show your work.
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document.write( "Loonie is a Canadian one-dollar coin, introduced in 1987.\r\n" );
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document.write( "Let x be the number of nickels.\r\n" );
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document.write( "Then the number of dimes is 4x; the number of quarters 3x, and the number of loonies (x-3).\r\n" );
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document.write( "The total for coins equation is\r\n" );
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document.write( "    x + 4x + 3x + (x-3) = 69.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    9x = 69 + 3 = 72\r\n" );
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document.write( "     x =          72/9 = 8.\r\n" );
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document.write( "ANSWER.  8 nickels, 4*8 = 32 dimes; 3*8 = 24 quarters  and (8-3) = 5 loonies.\r\n" );
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document.write( "CHECK for the total money :  8*0.05 + 32*0.10 + 24*0.25 + 5*1.00 = 14.60 dollars.   ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "Note that of two conditions, one for total money and the other for total coins, ONE CONDITION IS EXCESSIVE.\r
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