document.write( "Question 485186: the tollboth is 50 cents for eash car how many diffrent ways can you use quarters, dimes, and nickels \n" ); document.write( "
Algebra.Com's Answer #331866 by Edwin McCravy(20060)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "We just need to think about the quarters and dimes for the rest can\r\n" ); document.write( "always be made up with nickels. There are three cases, using\r\n" ); document.write( "0,1, and 2 quarters:\r\n" ); document.write( "\r\n" ); document.write( "1. If you don't use any quarters, then you can use 0 dimes\r\n" ); document.write( "up through 5 dimes, (and the rest, if any, in nickels). \r\n" ); document.write( "That's 6 ways.\r\n" ); document.write( "\r\n" ); document.write( "2. If you use 1 quarter, you can use 0 dimes up through 2 dimes,\r\n" ); document.write( "(and the rest in nickels). That's 3 more ways.\r\n" ); document.write( "\r\n" ); document.write( "3. If you use 2 quarters, that's the whole 50 cents, so that's 1 more way.\r\n" ); document.write( "\r\n" ); document.write( "So that's 6+3+1 or 10 ways. \r\n" ); document.write( "\r\n" ); document.write( " 1. 0 quarters, 0 dimes, 10 nickels.\r\n" ); document.write( " 2. 0 quarters, 1 dime, 8 nickels.\r\n" ); document.write( " 3. 0 quarters, 2 dimes, 6 nickels.\r\n" ); document.write( " 4. 0 quarters, 3 dimes, 4 nickels.\r\n" ); document.write( " 5. 0 quarters, 4 dimes, 2 nickels.\r\n" ); document.write( " 6. 0 quarters, 5 dimes, 0 nickels.\r\n" ); document.write( " 7. 1 quarter, 0 dimes, 5 nickels.\r\n" ); document.write( " 8. 1 quarter, 1 dime, 3 nickels.\r\n" ); document.write( " 9. 1 quarter, 2 dimes, 1 nickel.\r\n" ); document.write( "10. 2 quarters, 0 dimes, 0 nickels.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |