Calculated 7733

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?

Correct 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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