Division of money

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

Correct answer:

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

Step-by-step explanation:

$Ma=2700\cdot 1/(1+5+6+7+8)=100\text{Eur}$

$Mi=2700\cdot 5/(1+5+6+7+8)=500\text{Eur}$

$Lc=2700\cdot 6/(1+5+6+7+8)=600\text{Eur}$

$Michal=2700\cdot 7/(1+5+6+7+8)=700\text{Eur}$

$J=2700\cdot 8/(1+5+6+7+8)=800\text{Eur}$

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