Election mathematics

In elections, 12 political parties received this share of voters:

party A 56.2 %
party B 8.5 %
party C 8.2 %
party D 6.2 %
party E 6.1 %
party F 5.5 %
party G 3.2 %
party H 2.1 %
party I 2 %
party J 1 %
party K 1 %


Calculate what the shares acquired in the parliament if a quorum is 5%.

Correct answer:

A =  62 %
B =  9.4 %
C =  9 %
D =  6.8 %
E =  6.7 %
F =  6.1 %
G =  0 %
H =  0 %
I =  0 %
J =  0 %
K =  0 %

Step-by-step explanation:

$A=56.2\cdot (100/(0+56.2+8.5+8.2+6.2+6.1+5.5+0+0+0+0+0))=62\%$

$B=8.5\cdot (100/(0+56.2+8.5+8.2+6.2+6.1+5.5+0+0+0+0+0))=\frac{8500}{907}\%=9.4\%$

$C=8.2\cdot (100/(0+56.2+8.5+8.2+6.2+6.1+5.5+0+0+0+0+0))=\frac{8200}{907}\%=9\%$

$D=6.2\cdot (100/(0+56.2+8.5+8.2+6.2+6.1+5.5+0+0+0+0+0))=\frac{6200}{907}\%=6.8\%$

$E=6.1\cdot (100/(0+56.2+8.5+8.2+6.2+6.1+5.5+0+0+0+0+0))=\frac{6100}{907}\%=6.7\%$

$F=5.5\cdot (100/(0+56.2+8.5+8.2+6.2+6.1+5.5+0+0+0+0+0))=\frac{5500}{907}\%=6.1\%$

$G=0=0\%$

$H=0=0\%$

$I=0=0\%$

$J=0=0\%$

$K=0=0\%$

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