Division of money

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

Final Answer:

M₁ =  100 Eur
M₂ =  500 Eur
L =  600 Eur
M₃ =  700 Eur
J =  800 Eur

Step-by-step explanation:

$$\begin{gathered} d=\frac{2700}{1+5+6+7+8}=100\text{eur} \\ {M}_1=1\cdot d=1\cdot 100=100\text{Eur} \end{gathered}$$

$M_2=5\cdot d=5\cdot 100=500\text{Eur}$

$L=6\cdot d=6\cdot 100=600\text{Eur}$

$M_3=7\cdot d=7\cdot 100=700\text{Eur}$

$J=8\cdot d=8\cdot 100=800\text{Eur}$

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