document.write( "Question 1189712: Jeremy cashed his weekly paycheck at the bank and asked for the money in $5 and $10 bills. The bank teller gave him 24 bills worth $170. How many $5 bills did the bank teller give him?\r
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Algebra.Com's Answer #821148 by ikleyn(52786)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Jeremy cashed his weekly paycheck at the bank and asked for the money in $5 and $10 bills. \n" ); document.write( "The bank teller gave him 24 bills worth $170. How many $5 bills did the bank teller give him? \n" ); document.write( "~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Let x = # of $10 bills;\r\n" ); document.write( "\r\n" ); document.write( " y = # of $5 bills.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Write the system of 2 equation in 2 unknown, as you read the problem\r\n" ); document.write( "\r\n" ); document.write( " x + y = 24 (1) (total bills)\r\n" ); document.write( "\r\n" ); document.write( " 10x + 5y = 170 (2) (total dollars)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "To solve the system, divide equation (2) by 5 (both sides). The system will take the form\r\n" ); document.write( "\r\n" ); document.write( " x + y = 24 (1) \r\n" ); document.write( "\r\n" ); document.write( " 2x + y = 34 (3) \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Now subtract equation (1) from equation (3). You will get\r\n" ); document.write( "\r\n" ); document.write( " x = 34 - 24 = 10.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then from equation (1)\r\n" ); document.write( "\r\n" ); document.write( " y = 24 - 10 = 14.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. 10 $20-bills and 14 $5-dollar bills.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check it on your own that my answer is correct.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |