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prealgebra intermediate

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
(A)
(B)
(C)
(D)
(E)
Solution
We reverse the operations that he did and then use the correct operations. His end result is . Before that, he subtracted which means that his number after the first operation was . He divided by so his number was . Now, we multiply by to get . Finally, . Since , our answer is .
Final answer
E