document.write( "Question 1117033: If you have $1.15 in dimes, nickels, and quarters, someone asked you for change of dollar and you could not give them exact change, what are possible combinations of each coin? \n" ); document.write( "
Algebra.Com's Answer #731993 by ikleyn(52818)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "One possible combination is (3 quarters, 4 dimes and 0 nickels).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The other possible combination is (1 quarter, 9 dimes and 0 nickels).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "And there are no other combinations\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "--------------- \n" ); document.write( "It is a Math problem (a kind of entertainment problems).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It can be solved/proved formally by finding all possible combinations as the solutions of a Diophantine equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It can be solved logically by noticing that the necessary and sufficient condition for the solution is the absence of nickels in the combinations.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |