Problem:
What is 100(100−3)−(100⋅100−3) ?
Answer Choices:
A. −20,000
B. −10,000
C. −297
D. −6
E. 0
Solution:
Simplifying gives
100(100−3)−(100⋅100−3)=100⋅100−100⋅3−100⋅100+3=−300+3=(C)−297
The problems on this page are the property of the MAA's American Mathematics Competitions