Points

Gryffindor won 437 points. How many points obtained by each of the faculties if they were split at a ratio of 5: 7: 3: 4?

Result

a =  115
b =  161
c =  69
d =  92

Solution:

k=4375+7+3+4=23 a=5 k=5 23=115k = \dfrac{ 437 }{ 5+7+3+4 } = 23 \ \\ a = 5 \cdot \ k = 5 \cdot \ 23 = 115
b=7 k=161b=7 \cdot \ k = 161
c=3 k=69c=3 \cdot \ k = 69
d=4 k=92d=4 \cdot \ k = 92



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