Dividing money

Milan divided 360 euros in the ratio 4: 5, Erik in the ratio 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:

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

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

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

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

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