document.write( "Question 490608: A confused bank teller transposed the dollars and cents when he cashed a check for Ms. Smith, giving her dollars instead of cents and cents instead of dollars. After buying a newspaper for 50 cents, Ms. Smith noticed that she had left exactly three times as much as the original check. What was the amount of the check? \n" ); document.write( "
Algebra.Com's Answer #334265 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A confused bank teller transposed the dollars and cents when he cashed a check for Ms. Smith, giving her dollars instead of cents and cents instead of dollars. \n" ); document.write( " After buying a newspaper for 50 cents, Ms. Smith noticed that she had left exactly three times as much as the original check. \n" ); document.write( "What was the amount of the check? \n" ); document.write( ": \n" ); document.write( "Let x = correct no. of dollars \n" ); document.write( "Let .01y = correct no. of cents (in dollars) \n" ); document.write( "then \n" ); document.write( "x + .01y = correct amt \n" ); document.write( "y + .01x = the incorrect amt \n" ); document.write( ": \n" ); document.write( "y + .01x - .50 = 3(x + .01y) \n" ); document.write( "y + .01x - .50 = 3x + .03y \n" ); document.write( "y - .03y = 3x - .01x + .50 \n" ); document.write( ".97y = 2.99x + .50 \n" ); document.write( "get rid of those decimals, mult by 100 \n" ); document.write( "97y = 299x + 50 \n" ); document.write( "divide both sides by 97 \n" ); document.write( "y = \n" ); document.write( "enter this equation into Ti83 or equiv and check the table of the graph \n" ); document.write( "It will be apparent that he only integer solution of y occurs when \n" ); document.write( "x = 18, y = 56, therefore \n" ); document.write( "$18.56 is the correct amt \n" ); document.write( "however the teller gave \n" ); document.write( "$56.18 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "We can confirm this \n" ); document.write( "56.18 - .50 = 3(18.56) \n" ); document.write( "55.68 = 55.68 \n" ); document.write( " |