Dividing money

Milan divided 360 euros in the ratio of 4:5, Erik in the ratio of 500:625. How many euros did the individual parts of Milan, and how many Erik?

Correct answer:

m₁ =  160 Eur
m₂ =  200 Eur
e₁ =  160 Eur
e₂ =  200 Eur

Step-by-step explanation:

$m_1=360\cdot \frac{4}{4+5}=160\text{Eur}$

$m_2=360\cdot \frac{5}{4+5}=200\text{Eur}$

$$\begin{gathered} q=\frac{500}{625}=\frac{4}{5}=0.8 \\ {e}_1=360\cdot \frac{500}{500+625}=160\text{Eur} \end{gathered}$$

$e_2=360\cdot \frac{625}{500+625}=200\text{Eur}$

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