Which one of the following could be the buildings owned by the three companies after only one trade is made?

on June 3, 2019

Can you please help with the set up of this game?

I had no idea where to start when attempting this.

1 Reply

Ravi on June 4, 2019

@Bryan,

Happy to help with the setup.

We know there are 3 real estate companies looking to trade buildings
with each other. The buildings are categorized as class 1, 2, or 3
depending on their value.

R S T

We're told that R has G (class 1), Y (class 3), and Z (class 3)

R

G1
Y3
Z3

S has F (class 1), and L (class 2)

S
F1
L2

T has K, M, and O, and they're all class 2

T
K2
M2
O2

Each trade has to be one of 3 kinds:

1) trading buildings of the same class (X for X)

2) trading 1 class 1 building for 2 class 2 buildings (1 - 22)

3) trading 1 class 2 building for 2 class 3 buildings (2 - 33)

R can trade with S and T, and S and T can trade with each other

If R and S trade, they could either trade F for G or L for Y and Z

If R and T trade, they could trade Y and Z for either K, M, or O, or
they could trade G for two of K, M, and O

If S and T trade, they could trade F for two of K, M, or O or trade L
for one of K, M, or O

We can think of the class 3 buildings as being worth 1, class 2
buildings as being worth 2 (since two class 3 buildings equal 1 class
2 building), and class 1 buildings as being worth 4 (since two class 2
buildings equal 1 class 1 building)

From this, we know that R, S, and T each have buildings that are
collectively worth the same amount. Their properties are each worth 6,
so after trades, R, S, and T must each have collective values of 6
since all trades are of equivalent value.

In looking at this question, we see that (C) says, "(C) RealProp: the
Garza Tower and the Lynch Building Southco: the Flores Tower, the
Yates House, and the Zimmer House Trustcorp: the King Building, the
Meyer Building, and the Ortiz Building"

This is totally possible

R

G1
Y3
Z3

S
F1
L2

T
K2
M2
O2

If R and S trade Y and Z for L, then we would have the same buildings
with the various companies that (C) has.

R

G1
L2

S

F1
Y3
Z3

T
K2
M2
O2

Thus, (C) is the correct answer.

Hope this helps. Let us know if you have any more questions!