Legs

There are four-legged chairs and three-legged stools in the room, all fitted with (one) person. I counted all the legs in the room, and there were 39. How many chairs, stools, and people are there?

Final Answer:

x =  4
y =  3
z =  7

Step-by-step explanation:

$$\begin{gathered} 39=(4+2)x+(3+2)y \\ z=x+y \\ 39=6x+5y \\ x=4 \end{gathered}$$

$y=(39-6\cdot x)/5=(39-6\cdot 4)/5=3$

$z=x+y=4+3=7$

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