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比例數

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比例數

In a football match, a team gets 3 points and 1 point for a win and a drawrespectively, but 0 point for a loss. Team F plays 27 matches and gets 50points. Suppose that the number of matches that team F wins to the numbers ofmatches that team F draws are in the ratio 3:1. Find the number of matches thatteam F loses.
   

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let the number of matches won, drew and lost be 3n, n, xn
3n + n + xn = 27 -- (1)
3(3n) + n = 50 -- (2)
from (2), n = 5
sub n=5 into (1), 20 + 5x = 27 => x = 7/5
number of matches lost = xn = (27/5)(5) = 7

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