Meadow 60683

Sheep and geese graze in the meadow. They have a total of 20 heads and 64 legs. How many sheep are in the field, and how many geese?

Correct answer:

a =  12
b =  8

Step-by-step explanation:


a+b=20
4a+2b=64

a+b=20
4·a+2·b=64

a+b = 20
4a+2b = 64

Pivot: Row 1 ↔ Row 2
4a+2b = 64
a+b = 20

Row 2 - 1/4 · Row 1 → Row 2
4a+2b = 64
0.5b = 4


b = 4/0.5 = 8
a = 64-2b/4 = 64-2 · 8/4 = 12

a = 12
b = 8

Our linear equations calculator calculates it.



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