Question

i) in a certain county there are two political parties, liberal and conservative. it has been observed that between elections a fixed percentage, 45% of liberals switch to the conservative party and a fixed percentage, 32% of conservatives switch to the liberal party. the other voters remain in the same party. assume that there are altogether 7700 eligible voters in the county.

Answer 1

In linear equation, Number of members in liberal party = 32 * 77 = 2464

What does the term "linear equation" mean?

A mathematical function where the variables only occur in the first degree, where the constants are multiplied, and where the only possible combinations are addition and subtraction.

45% Of liberals switch to the conservative party

total number of eligible votes in the country =7700

Number of members change to liberal to conservative  = 45% of 7700

                                                         = 45/100 * 7700

                                                          = 45 * 77 = 3465

32% of conservative  switch to the liberals party  = 32 % of 7700

                                                      = 32/100 * 7700

Number of members in liberal party = 32 * 77 = 2464

An equilibrium in campain contributions one for the each party among the set of contribution to the party.

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The complete question is -

in a certain county there are two political parties, liberal and conservative. it has been observed that between elections a fixed percentage, 45% of liberals switch to the conservative party and a fixed percentage, 32% of conservatives switch to the liberal party. the other voters remain in the same party. assume that there are altogether 7700 eligible voters in the county. Find the equilibrium Values for the system if any?