Division of money

Calculate how many euros have Matthew, Miriam, Lucy, Michael, Janka when together have 2,700 euros and the amounts are at a ratio of 1:5:6:7:8.

Correct result:

Ma =  100 Eur
Mi =  500 Eur
Lc =  600 Eur
Michal =  700 Eur
J =  800 Eur


Ma=2700 1/(1+5+6+7+8)=100 Eur
Mi=2700 5/(1+5+6+7+8)=500 Eur
Lc=2700 6/(1+5+6+7+8)=600 Eur
Michal=2700 7/(1+5+6+7+8)=700 Eur
J=2700 8/(1+5+6+7+8)=800 Eur

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