# What was the amount of the check?

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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. 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? (Note: 1 dollar = 100 cents.)

posted May 13, 2014

The answer is \$18.56.
x=dollars, y=cents of original check
(100x+y)*3=100y+x-50
I used a spreadsheet to compute values of x for 1 to 100
The only integer that came out for y was 56.
\$56.18 - \$0.50 = \$55.68
\$55.68 / 3 = \$18.56

answer May 13, 2014

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