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)\"\" \"About 
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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 = \"299%2F97\"x + \"50%2F97\"
\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( "
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