document.write( "Question 485260: how many different ways can i give someone change for a quarter using dimes, nickels, and pennies? \n" ); document.write( "
Algebra.Com's Answer #331894 by Edwin McCravy(20060)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "You only need to look at the number of dimes and nickels used,\r\n" ); document.write( "for you can always use enough pennies to finish out the 25 cents.\r\n" ); document.write( "\r\n" ); document.write( "There are three cases, using 0, 1, or 2 dimes.\r\n" ); document.write( "\r\n" ); document.write( "1. If you don't use any dimes, you can use from 0 though 5 nickels,\r\n" ); document.write( "That's 6 ways.\r\n" ); document.write( "\r\n" ); document.write( "2. If you use one dime, you can use from 0 though 3 nickels,\r\n" ); document.write( "That's 4 ways.\r\n" ); document.write( "\r\n" ); document.write( "3. If you use two dimes, you can use 0 or 1 nickel\r\n" ); document.write( "That's 2 ways.\r\n" ); document.write( "\r\n" ); document.write( "So altogether there are 6+4+2 or 12 ways. Here they all are:\r\n" ); document.write( "\r\n" ); document.write( "1. 0 dimes, 0 nickels, and 25 pennies.\r\n" ); document.write( "2. 0 dimes, 1 nickel, and 20 pennies.\r\n" ); document.write( "3. 0 dimes, 2 nickels, and 15 pennies.\r\n" ); document.write( "4. 0 dimes, 3 nickels, and 10 pennies.\r\n" ); document.write( "5. 0 dimes, 4 nickels, and 5 pennies.\r\n" ); document.write( "6. 0 dimes, 5 nickels, and 0 pennies.\r\n" ); document.write( "7. 1 dime, 0 nickels, and 15 pennies.\r\n" ); document.write( "8. 1 dime, 1 nickel, and 10 pennies.\r\n" ); document.write( "9. 1 dime, 2 nickels, and 5 pennies.\r\n" ); document.write( "10. 1 dime, 3 nickels, and 0 pennies.\r\n" ); document.write( "11. 2 dimes, 0 nickels, and 5 pennies.\r\n" ); document.write( "12. 2 dimes, 1 nickel, and 0 pennies.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |