document.write( "Question 115451: Anna has 12 bills in her wallet, some $5 and some $10. The total value of the bills is $100. How many of each bill does Anna have? \n" ); document.write( "
Algebra.Com's Answer #84011 by ganesh(20)![]() ![]() ![]() You can put this solution on YOUR website! Let Anna has x number of $5 bills and y number of $10 bills. \n" ); document.write( "Totally, there are 12 bills. \n" ); document.write( "Therefore, x + y = 12---------(1). \n" ); document.write( "The value of $5 bills = 5*x = 5x. \n" ); document.write( "The value of $10 bills = 10*y = 10y \n" ); document.write( "So, the total value of the bills = 5x + 10y. \n" ); document.write( "It is given that the total value of the bills = $100. \n" ); document.write( "Therefore, 5x + 10y = 100. \n" ); document.write( "That is, x + 2y = 20-----------(2).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solve (1) and (2).\r \n" ); document.write( "\n" ); document.write( "(1)*2 gives, 2x + 2y = 24------(3) \n" ); document.write( "(2) gives x + 2y = 20-------(2)\r \n" ); document.write( "\n" ); document.write( "(3) - (2) x = 4 \n" ); document.write( "Plug in x = 4 in (1), we get y = 8.\r \n" ); document.write( "\n" ); document.write( "So, Anna has 4 bills of $5 and 8 bills of $10 \n" ); document.write( " \n" ); document.write( " |