Miloš

Miloš and Martin helped water the new vineyard. They had to carry water from the well in buckets. How did they divide the 20-euro reward if Miloš applied 20 buckets and Martin 30 buckets?

Correct answer:

a =  8
b =  12

Step-by-step explanation:

$$\begin{gathered} s=20 \\ a:b=20:30 \\ a+b=s=20 \\ {r}_1=\frac{20}{20+30}=\frac{2}{5}=0.4 \\ {r}_2=1-r_1=1-\frac{2}{5}=\frac{1\cdot 5}{5}-\frac{2}{5}=\frac{5}{5}-\frac{2}{5}=\frac{5-2}{5}=\frac{3}{5}=0.6 \\ a=r_1\cdot s=\frac{2}{5}\cdot 20=\frac{2\cdot 20}{5}=\frac{40}{5}=8 \end{gathered}$$

$b=r_2\cdot s=\frac{3}{5}\cdot 20=\frac{3\cdot 20}{5}=\frac{60}{5}=12$

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