Legs

In the room are four-legged chairs, three-legged stool, and all are sitted with (one) people. I counted all the leg room and there were a total of 39. How many are there chairs, stool and people?

Correct result:

x =  4
y =  3
z =  7

Solution:

$$\begin{gathered} 39=(4+2)x+(3+2)y \\ z=x+y \\ x=4;y=3 \\ z=x+y=4+3=7 \end{gathered}$$

$z=4+3=7$

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