Dividing money

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

Result

x =  320 Eur

Solution:

s=1200=440 eur j=1919+11⋅ 1200=760 eur s=1119+11⋅ 1200=440 eur  x=j−s=760−440=320 Eurs=1200=440 \ \text{eur} \ \\ j=\dfrac{ 19 }{ 19+11 } \cdot \ 1200=760 \ \text{eur} \ \\ s=\dfrac{ 11 }{ 19+11 } \cdot \ 1200=440 \ \text{eur} \ \\ \ \\ x=j-s=760-440=320 \ \text{Eur}

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