BTGmoderatorLU wrote:A cashier mentally reversed the digits of one customer's correct amount of changed and thus gave the customer an incorrect amount of change. If the cash register contained 45 cents more than it should have as a result of this error, which of the following could have been the correct amount of change in cents?
A. 14
B. 45
C. 54
D. 65
E. 83
We can PLUG IN THE ANSWERS, which represent the correct amount of change.
When the digits in the correct answer are reversed, the resulting integer must yield a decrease of 45 cents -- the 45 cents left in the register by mistake.
Since reversing the digits must yield a decrease of 45 cents, the correct answer must be greater than 45.
Eliminate A and B.
C: 54-45 = 9
D: 65-56 = 9
E: 83-38 = 45.
Only the option in blue yields a decrease of 45 cents.
The correct answer is
E.
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