Purchase - owners

The house is divided between the owners in shares of 1/8, 1/12, 1/6, 1/8, 1/4, and 1/4. Except for one with a 1/4 share, they decide to sell their shares. How will he divide the purchase price of CZK 12960000?

Correct answer:

a =  2160000 Kc
b =  1440000 Kc
c =  2880000 Kc
d =  2160000 Kc
e =  4320000 Kc

Step-by-step explanation:

$$\begin{gathered} P=12960000\text{Kc} \\ P=\frac{3}{4}\cdot D \\ D=\frac{4}{3}\cdot P=\frac{4}{3}\cdot 12960000=\frac{4\cdot 12960000}{3}=\frac{51840000}{3}=17280000\text{Kc} \\ a=\frac{1}{8}\cdot D=\frac{1}{8}\cdot 17280000=\frac{1\cdot 17280000}{8}=\frac{17280000}{8}=2160000\text{Kc} \end{gathered}$$

$b=\frac{1}{12}\cdot D=\frac{1}{12}\cdot 17280000=\frac{1\cdot 17280000}{12}=\frac{17280000}{12}=1440000\text{Kc}$

$c=\frac{1}{6}\cdot D=\frac{1}{6}\cdot 17280000=\frac{1\cdot 17280000}{6}=\frac{17280000}{6}=2880000\text{Kc}$

$d=\frac{1}{8}\cdot D=\frac{1}{8}\cdot 17280000=\frac{1\cdot 17280000}{8}=\frac{17280000}{8}=2160000\text{Kc}$

$e=\frac{1}{4}\cdot D=\frac{1}{4}\cdot 17280000=\frac{1\cdot 17280000}{4}=\frac{17280000}{4}=4320000\text{Kc}$

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