Pre-Algebra

Cannot see your problem - try a JPEG attachment
 
Can you not show us something "readable"? :shock:

Is the problem/puzzle somehere....as a click-on?
 
number 1 took me 7 moves. i dont know about you. this is how i moved them:
S=sheep
G=goat
__ = EMPTY PIN

1.S G S G S G __ __
2.S __ __ G S G G S
3.S S G G __ __ G S
4.S S G G G S __ __
5.S S __ __ G S G G
6. S S S G G __ __ G
7. S S S __ __ G G G
 
Hello, leonduyanlin!

There are 3 sheep and 3 goats in six of the eight pens.

. . \(\displaystyle \huge\begin{array}{cccccccc} 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ \large \boxed{S} & \boxed{G} & \boxed{S} &\boxed{G} & \boxed{S} & \boxed{G} & \square & \square \end{array}\)


Move any two adjacent animals to the empty pens.

Repated this procedure and get the following arrangement:

. . \(\displaystyle \huge \begin{array}{cccccccc} \large \boxed{S} & \boxed{S} & \boxed{S} & \square & \square & \boxed{G} & \boxed{G} & \boxed{G} \end{array}\)


We start with:

. . \(\displaystyle \begin{array}{cccccccc} 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ \large \boxed{S} & \boxed{G} & \boxed{S} &\boxed{G} & \boxed{S} & \boxed{G} & \Huge \square & \square \end{array}\)


Move (3,4) to (7,8),

. . \(\displaystyle \huge \begin{array}{cccccccc} 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ \large \boxed{S} & \boxed{G} & \square & \square & \boxed{S} & \boxed{G} & \boxed{S} & \boxed{G} \end{array}\)


Move (6,7) to (3,4).

. . \(\displaystyle \huge \begin{array}{cccccccc} 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ \large \boxed{S} & \boxed{G} & \boxed{G} &\boxed{S} & \boxed{S} &\square & \square & \boxed{G} \end{array}\)


Move (2,3) to (6,7).

. . \(\displaystyle \huge \begin{array}{cccccccc} 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ \large \boxed{S} & \square & \square &\boxed{S} & \boxed{S} & \boxed{G} & \boxed{G} & \boxed{G} \end{array}\)


Move (4,5) to (2,3),

. . \(\displaystyle \huge \begin{array}{cccccccc} 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ \large \boxed{S} & \boxed{S} & \boxed{S} & \square & \square & \boxed{G} & \boxed{G} & \boxed{G} \end{array}\)

 
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