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Metropolis Corporation has 4 shareholders: Fritz, Luis, Alfred and Werner. Number of shares that Fritz owns is 2/3 rd of number of the shares of the other three shareholders, number of the shares that Luis owns is 3/7 th of number of the shares of the other three shareholders and number of the shares that Alfred owns is 4/11 th of number of the shares of the other three shareholders. If dividends of $3,600,000 were distributed among the 4 shareholders, how much of this amount did Werner receive?

Respuesta :

Answer:

$120,000

Explanation:

Given:

Shares owned by Fritz = [tex]\frac{2}{3}[/tex] of number of the shares of the other three shareholders i.e [tex]\frac{2}{2+3}=\frac{2}{5}[/tex] of all the shares

Shares owned by Luis  = [tex]\frac{3}{7}[/tex] of number of the shares of the other three shareholders i.e [tex]\frac{3}{3+7}=\frac{3}{10}[/tex] of all the shares

Shares owned by Alfred = [tex]\frac{4}{11}[/tex] of number of the shares of the other three shareholders i.e [tex]\frac{4}{4+11}=\frac{4}{15}[/tex] of all the shares

Therefore,

Shares owned by them together = [tex]\frac{2}{5}+\frac{3}{10}+\frac{4}{15}[/tex]

=  [tex]\frac{29}{30}[/tex] of all shares,

This means that Werner owns = 1 − [tex]\frac{29}{30}[/tex] of all shares,

=[tex]\frac{1}{30}[/tex] of all shares

i.e

= [tex]\frac{1}{30}[/tex] × $3,600,000

= $120,000

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