document.write( "Question 346147: John's paycheck is for $x and y cents. When he cashes it the cashier accidentally gives him $y and x cents. As a result John ( who is not paying attention at all) has lost $95.04. How much was John's original check for. Find all the possible solutions. \n" ); document.write( "
Algebra.Com's Answer #247517 by stanbon(75887) ![]() You can put this solution on YOUR website! John's paycheck is for $x and y cents. When he cashes it the cashier accidentally gives him $y and x cents. As a result John ( who is not paying attention at all) has lost $95.04. How much was John's original check for. Find all the possible solutions.\r \n" ); document.write( "\n" ); document.write( "----------------- \n" ); document.write( "Equation: \n" ); document.write( "check value - cashier pay = $95.04 \n" ); document.write( "100x+y - (100y+x) = 9504 cents \n" ); document.write( "----------------------- \n" ); document.write( "99x-99y = 9504 \n" ); document.write( "x - y = $96 \n" ); document.write( "--- \n" ); document.write( "y = x-96 \n" ); document.write( "--- \n" ); document.write( "y cannot be negative \n" ); document.write( "x >= 96 \n" ); document.write( "96 <= x <= 99 \n" ); document.write( "------------------ \n" ); document.write( "so x = 96 or 97 or 98 or 99 \n" ); document.write( "--- \n" ); document.write( "Johns paycheck is $x and y cents = \n" ); document.write( "$96.00 \n" ); document.write( "or 97.01 \n" ); document.write( "or 98.02 \n" ); document.write( "or 99.03 \n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================= \n" ); document.write( " |