Divided 82614

He had 810 sheep in the herd, and he divided them among the three bachas in such a way that bacha Ondrej Dostál got three parts, bacha Kubo got four parts, and bacha Maťo got two parts of sheep. How many sheep did each batch get if all parts were equal?

Correct answer:

a =  270
b =  360
c =  180

Step-by-step explanation:

$$\begin{gathered} n=810 \\ d=n/(3+4+2)=810/(3+4+2)=90 \\ a=3\cdot d=3\cdot 90=270 \end{gathered}$$

$b=4\cdot d=4\cdot 90=360$

$c=2\cdot d=2\cdot 90=180$

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