Stable people count

There are nurses and horses in the stable. Juraj calculated that they have 11 heads and 36 all legs. How many people are in the stable?

Final Answer:

x =  4

Step-by-step explanation:


x+y = 11
2x + 4y = 36

x+y = 11
2·x + 4·y = 36

x+y = 11
2x+4y = 36

Pivot: Row 1 ↔ Row 2
2x+4y = 36
x+y = 11

Row 2 - 1/2 · Row 1 → Row 2
2x+4y = 36
-y = -7


y = -7/-1 = 7
x = 36-4y/2 = 36-4 · 7/2 = 4

x = 4
y = 7

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