Animals

All without two animals are dogs, all without two are parrots, all without two are cats, and the others are chickens. How many animals of individual species does Ms. Novak take care of?

Correct answer:

a =  1
k =  1
p =  1
s =  0

Step-by-step explanation:


p = (p+a+k+s)-2
a = (p+a+k+s)-2
k = (p+a+k+s)-2
a=1

a+k+s = 2
k+p+s = 2
a+p+s = 2
a = 1

Row 3 - Row 1 → Row 3
a+k+s = 2
k+p+s = 2
-k+p = 0
a = 1

Row 4 - Row 1 → Row 4
a+k+s = 2
k+p+s = 2
-k+p = 0
-k-s = -1

Row 3 + Row 2 → Row 3
a+k+s = 2
k+p+s = 2
2p+s = 2
-k-s = -1

Row 4 + Row 2 → Row 4
a+k+s = 2
k+p+s = 2
2p+s = 2
p = 1

Row 4 - 1/2 · Row 3 → Row 4
a+k+s = 2
k+p+s = 2
2p+s = 2
-0.5s = 0


s = 0/-0.5 = -0
p = 2-s/2 = 2/2 = 1
k = 2-p-s = 2-1 = 1
a = 2-k-s = 2-1 = 1

a = 1
k = 1
p = 1
s = -0

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