# Election mathematics

In elections, 12 political parties received this shares 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%.

Result

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 %

#### Solution:

$A=56.2 \cdot \ (100/(0+56.2+8.5+8.2+6.2+6.1+5.5+0+0+0+0+0)) \doteq 61.9625=62 \%$
$B=8.5 \cdot \ (100/(0+56.2+8.5+8.2+6.2+6.1+5.5+0+0+0+0+0))=\dfrac{ 8500 }{ 907 } \doteq 9.3716 \doteq 9.4 \%$
$C=8.2 \cdot \ (100/(0+56.2+8.5+8.2+6.2+6.1+5.5+0+0+0+0+0))=\dfrac{ 8200 }{ 907 } \doteq 9.0408 \doteq 9 \%$
$D=6.2 \cdot \ (100/(0+56.2+8.5+8.2+6.2+6.1+5.5+0+0+0+0+0))=\dfrac{ 6200 }{ 907 } \doteq 6.8357 \doteq 6.8 \%$
$E=6.1 \cdot \ (100/(0+56.2+8.5+8.2+6.2+6.1+5.5+0+0+0+0+0))=\dfrac{ 6100 }{ 907 } \doteq 6.7255 \doteq 6.7 \%$
$F=5.5 \cdot \ (100/(0+56.2+8.5+8.2+6.2+6.1+5.5+0+0+0+0+0))=\dfrac{ 5500 }{ 907 } \doteq 6.0639 \doteq 6.1 \%$
$G=0=0 \%$
$H=0=0 \%$
$I=0=0 \%$
$J=0=0 \%$
$K=0=0 \%$ Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

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