document.write( "Question 801574: How many possible denominations of $20 and $50 sum up to $510? \n" ); document.write( "
Algebra.Com's Answer #483575 by Edwin McCravy(20081) You can put this solution on YOUR website! \r\n" ); document.write( "There can only be an odd number of $50 bills, because if you\r\n" ); document.write( "had an even number of $50 bills, they would amount to\r\n" ); document.write( "\r\n" ); document.write( "$100, which would leave $410 to make with $20 bils only, which\r\n" ); document.write( "is impossible, or\r\n" ); document.write( "$200, which would leave $310 to make with $20 bils only, which\r\n" ); document.write( "is impossible, or\r\n" ); document.write( "$300, which would leave $210 to make with $20 bils only, which\r\n" ); document.write( "is impossible, or\r\n" ); document.write( "$400, which would leave $110 to make with $20 bils only, which\r\n" ); document.write( "is impossible, or\r\n" ); document.write( "$500, which would leave $10 to make with $20 bils only, which\r\n" ); document.write( "is impossible.\r\n" ); document.write( "\r\n" ); document.write( "But if you had an odd number of $50 bills, they would amount to\r\n" ); document.write( "\r\n" ); document.write( "1. 1 fifty, or $50, which would leave $460 to make with $20 bills \r\n" ); document.write( "only, which can be made with 23 $20 bills.\r\n" ); document.write( "2. 3 fifties, or $150, which would leave $360 to make with $20 bills only, which can be made with 18 $20 bills.\r\n" ); document.write( "3. 5 fifties, or $250, which would leave $260 to make with $20 bills only, which can be made with 13 $20 bills.\r\n" ); document.write( "4. 7 fifties, or $350, which would leave $160 to make with $20 bills only, which can be made with 8 $20 bills. \r\n" ); document.write( "5. 9 fifties, or $450, which would leave $60 to make with $20 bills only, \r\n" ); document.write( "which can be made with 3 $20 bills. \r\n" ); document.write( " \r\n" ); document.write( "So there are 5 possible denominations of $20 and $50 that sum up to $510.\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |