Assume that there is an election between two candidates A and B. Suppose that in an election day, it is reliably estimated that candidate A is favored by fraction fA of the registered voters, and candidate B is favored by the remaining fraction 1 - fA. But it is well known that not all voters show up to the polls on election day. Suppose that historical voting patterns shows that fraction QA of A’s supporters will actually vote, as will the fraction QB of B’s supporters. For what particular values of fA; QA and QB will the candidate A win the election?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter4: Factors, Fractions, And Exponents
Section4.4: Least Common Multiple
Problem 64E
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Assume that there is an election between two candidates A and B. Suppose
that in an election day, it is reliably estimated that candidate A is favored by fraction fA of the registered voters, and candidate B is favored by the remaining fraction 1 - fA. But it is well known that not all voters show up to the polls on election day. Suppose that historical voting patterns shows that fraction QA of A’s supporters will actually vote, as will the fraction QB of B’s supporters. For what particular values of fA; QA and QB will the candidate A win the election?

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