Problem:
Pat intended to multiply a number by but instead divided by . Pat then meant to add but instead subtracted . After these mistakes, the result was . If the correct operations had been used, the value produced would have been
Answer Choices:
A. less than
B. between and
C. between and
D. between and
E. greater than
Solution:
The original number satisfies , so we must have . Thus, the answer Pat should have produced is .