document.write( "Question 559244: you go to a game show and the prze at the end is a case full of $10 and $20 bills. The hosts tells you there are 400 bills in the case totaling $6,250. To win you have to figure out how many 10 and 20 $ bills are in the case. \n" ); document.write( "
Algebra.Com's Answer #363351 by Edwin McCravy(20060)![]() ![]() You can put this solution on YOUR website! you go to a game show and the prze at the end is a case full of $10 and $20 \n" ); document.write( "bills. The hosts tells you there are 400 bills in the case totaling $6,250. To \n" ); document.write( "win you have to figure out how many 10 and 20 $ bills are in the case. \n" ); document.write( " \r\n" ); document.write( "This can be solved with or without using algebra. I'll do it both ways:\r\n" ); document.write( "\r\n" ); document.write( "1. Without algebra:\r\n" ); document.write( "\r\n" ); document.write( "If all 400 bills were tens, there would be only $4000, which would be\r\n" ); document.write( "$2250 short, so 225 of the bills must be worth an extra $10 to make it\r\n" ); document.write( "worth $6250. So there nust be 225 twenties and the rest (175) tens. \r\n" ); document.write( "\r\n" ); document.write( "2. With algebra:\r\n" ); document.write( "\r\n" ); document.write( "Let x = the number of tens and y = the number of twenties\r\n" ); document.write( "\r\n" ); document.write( " x + y = 400 <-- the bill equation\r\n" ); document.write( " 10x + 20y = 6250 <-- the money equation \r\n" ); document.write( "\r\n" ); document.write( "Solve that by substitution and get x=175 tens, y = 225 twenties.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |