SOLUTION: Kindly help please. Politics. The percentage s of seats in the House of Representatives won by Democrats and the percentage v of votes cast for Democrats (when expressed as decim

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Question 1038523: Kindly help please.
Politics. The percentage s of seats in the House of Representatives won by Democrats and the percentage v of votes cast for Democrats (when expressed as decimal fractions) are related by the equation
5v - 2s = 1.4 0 < s < 1, 0.28 < v < 0.68
(A) Express v as a function of s, and find the percentage of votes required for the Democrats to win 51% of the seats.
(B) Express s as a function of v, and find the percentage of seats won if Democrats receive 51% of the votes.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
(A) v+=+%282s%2B1.4%29%2F5. If the Democrats win 51% of the seats, s = 0.51, and so v+=+%282%2A0.51%2B1.4%29%2F5+=+0.484, and the Democrats need to win 48.4% of the votes.

(B) s+=+%285v-1.4%29%2F2. If the Democrats receive 51% of the votes, v = 0.51, and so s+=+%285%2A0.51-1.4%29%2F2+=+0.575, and the Democrats would win 57.5% of the seats.