Calculate 27351

There were goats and chickens in the yard. The number of all heads was 15. The number of all legs was 40. Calculate how many hens there were. Every animal has all its legs.

Correct answer:

a =  5
b =  10

Step-by-step explanation:


a+b=15
4a+2b=40

a+b=15
4·a+2·b=40

a+b = 15
4a+2b = 40

Pivot: Row 1 ↔ Row 2
4a+2b = 40
a+b = 15

Row 2 - 1/4 · Row 1 → Row 2
4a+2b = 40
0.5b = 5


b = 5/0.5 = 10
a = 40-2b/4 = 40-2 · 10/4 = 5

a = 5
b = 10

Our linear equations calculator calculates it.



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