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Logic
Catching
the Bus
Every morning when Aldo, Brenda, and Cory line up
at the bus stop, they can choose between two busses
— one yellow and one blue.
Whenever Aldo takes the yellow bus, Brenda
and Cory take the same bus as each other.
If Brenda takes the yellow bus, Aldo and Cory
take different busses from each other.
If Cory takes the blue bus, Aldo takes the
same bus as Brenda.
Which of the three kids always takes the same
bus? What color is it?
Aldo always takes the blue bus.
STRATEGY: Make a table that shows the choices
for Aldo. He can either take yellow or blue. If
he takes yellow, there are two options for Brenda
and Cory. If he takes blue, there are four choices
for Brenda and Cory.
Aldo
Brenda
Cory
A
yellow
yellow
yellow
B
yellow
blue
blue
C
blue
blue
blue
D
blue
yellow
yellow
E
blue
yellow
blue
F
blue
blue
yellow
Now
go back to the information in the problem and
eliminate the impossible cases. Number 2 makes
case A and E impossible, so cross them out. Number
3 makes case B impossible, so cross that out.
That leaves only cases D and F. Aldo takes the
blue bus in both.
