Dividing Prize by Ratio

A group of three girls won a € 30 science competition. Kamila, Magda, and Susan divided the win according to their performances in the ratio of 3:4:5. How many euros have each of them?

Final Answer:

k =  7.5 Eur
m =  10 Eur
z =  12.5 Eur

Step-by-step explanation:

$$\begin{gathered} a=30/(3+4+5)=\frac{5}{2}=2.5 \\ k=3\cdot a=3\cdot 2.5=\frac{15}{2}\text{Eur}=7.5\text{Eur} \end{gathered}$$

$m=4\cdot a=4\cdot 2.5=10\text{Eur}$

$z=5\cdot a=5\cdot 2.5=\frac{25}{2}\text{Eur}=12.5\text{Eur}$

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