Using the linear equation ,
the fraction of red knights that are magical is 7/27 .
The Knights in a certain kingdom come in two colors that is red and blue .
let k be the number of knights then the number
of red knights is 2k/7 and the number of blue knights is 5k/7.
Let b be the fraction of blue knights that are magical - then 2b is the fraction of red knights
that are magical.
Also, we have total magical knights are 1/6 of total knights .
so, we can write the above statements in equation form,
b×5k/7 + 2b × 2k/7 = k/6
=> 5b/7 + 4b/7 = 1/6
=> 9b/7 = 1/6 => 9b = 7/6
=> b = 7/54
we want to find the fraction of red knights that are magical i.e 2b = 2×7/54 = 7/27
Hence, the fraction of red knights that are magical is 7/27 .
To learn more about linear equation, refer:
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