document.write( "Question 1165882: SHerry has 23 coins in his ashtray. There are nickels, dimes and quarters. If he has half as many quarters as nickels and a total of $2.65, how many of each type of coin does he have?
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Algebra.Com's Answer #790355 by ikleyn(52788)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "n quarters; 2n nickels and the rest 23-n-2n = 23-3n are dimes.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The total money equation is then\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 25n + 5*(2n) + 10*(23-3n) = 265 cents, or\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 25n + 10n + 230 - 30n = 265\r\n" ); document.write( "\r\n" ); document.write( " 5n = 265 - 230 = 35\r\n" ); document.write( "\r\n" ); document.write( " n = 35/5 = 7.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. 7 quarters; 14 nickels and the rest are 23-7-14 = 2 dimes.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The miracle is that the problem is solved using only one unknown and one single equation.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |