Dividing money

Jane and Silvia are to divide 1200 euros in a ratio of 19:11. How many euros does Jane have?

Correct answer:

x =  320 Eur

Step-by-step explanation:

$$\begin{gathered} s=1200=440\text{ eur } \\ j={\displaystyle \frac{19}{19+11}}\cdot 1200=760\text{ eur } \\ s={\displaystyle \frac{11}{19+11}}\cdot 1200=440\text{ eur } \\ x=j-s=760-440=320\text{ Eur} \end{gathered}$$

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