Logic Problem 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. There are exactly five dorms. Taylor lives in Stadium place. Torin owns a cat. Gatorade is drunk in the Kennedy dorm. Ariel drinks tea. Kennedy is immediately to the right of the McKay dorm. The swimmer owns a bird. The soccer player lives in the Vaughn dorm. Milk is drunk in the middle house. Ella lives in the first house. The person who plays cards lives next to the person with the frog. The soccer player lives in the house next to the house where the duck is kept. The baseball player drinks powerade. Zoe plays volleyball. Ella lives next to Smiley. Each person lives in one dorm, owns one pet, has one name, drinks one liquid, and plays one sport. Who drinks coffee and who has a dog? Give a well written convincing logical discussion of your solution.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Need help with logic problem how would I solve it?

 

The hint I was given was to make a 5 by 5 grid and use "if then" logic to fill it out so you have no conflicts.

 

 

Logic Problem
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
There are exactly five dorms.
Taylor lives in Stadium place.
Torin owns a cat.
Gatorade is drunk in the Kennedy dorm.
Ariel drinks tea.
Kennedy is immediately to the right of the McKay dorm.
The swimmer owns a bird.
The soccer player lives in the Vaughn dorm.
Milk is drunk in the middle house.
Ella lives in the first house.
The person who plays cards lives next to the person with the frog.
The soccer player lives in the house next to the house where the duck is kept.
The baseball player drinks powerade.
Zoe plays volleyball.
Ella lives next to Smiley.
Each person lives in one dorm, owns one pet, has one name, drinks one liquid, and plays
one sport.
Who drinks coffee and who has a dog?
Give a well written convincing logical discussion of your solution.
Transcribed Image Text:Logic Problem 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. There are exactly five dorms. Taylor lives in Stadium place. Torin owns a cat. Gatorade is drunk in the Kennedy dorm. Ariel drinks tea. Kennedy is immediately to the right of the McKay dorm. The swimmer owns a bird. The soccer player lives in the Vaughn dorm. Milk is drunk in the middle house. Ella lives in the first house. The person who plays cards lives next to the person with the frog. The soccer player lives in the house next to the house where the duck is kept. The baseball player drinks powerade. Zoe plays volleyball. Ella lives next to Smiley. Each person lives in one dorm, owns one pet, has one name, drinks one liquid, and plays one sport. Who drinks coffee and who has a dog? Give a well written convincing logical discussion of your solution.
Expert Solution
Step 1: Answers


Now, let's use this information to deduce who drinks coffee and who has a dog:


••We know that there are five dorms, and the middle house has milk. This means we have two houses on the left and two houses on the right of the middle house.


••Since Ella lives in the first house, the middle house with milk must be the third house, with two houses on its left and one house on its right.


••Taylor lives in the Stadium dorm, which means the Stadium dorm must be one of the two dorms on the left of the middle house.


••We also know Kennedy is immediately to the right of McKay, which means that Kennedy and McKay must be in the two rightmost dorms.


••The soccer player lives in the Vaughn dorm, but we don't yet know where Vaughn is.


••Let's place the person who plays cards in one of the two houses to the right of the middle house. Since they live next to the person with a frog, and there are no other constraints for the frog owner, let's assume the frog owner is the person to the immediate left of the card player.


••This leaves us with the following arrangement:


Ella - Taylor - Milk - ??? - ???

??? - ??? - ??? - ??? - ???

??? - Kennedy - ??? - ??? - ???

??? - McKay - ??? - ??? - ???

??? - Vaughn - ??? - ??? - ???

••The person who plays cards lives next to the person with a frog. So, let's put the person with a frog in the second house and the card player in the fourth house:


Ella - Taylor - Milk - Frog - ???

??? - ??? - ??? - Card Player - ???

??? - Kennedy - ??? - ??? - ???

??? - McKay - ??? - Frog Owner - ???

??? - Vaughn - ??? - ??? - ???

The soccer player must live in a dorm adjacent to the house where the duck is kept. The only remaining option is the Vaughn dorm. So, let's place the duck owner in the fifth house:


Ella - Taylor - Milk - Frog - ???

??? - ??? - ??? - Card Player - ???

??? - Kennedy - ??? - ??? - ???

??? - McKay - ??? - Frog Owner - ???

??? - Vaughn - ??? - Soccer Player - Duck

We know Gatorade is drunk in the Kennedy dorm. So, Kennedy drinks Gatorade.


Zoe plays volleyball, and there's only one person left, so Zoe must be in the first house:


Ella - Taylor - Milk - Frog - ??? (Coffee)

Zoe - ??? - ??? - Card Player - ??? (Dog)

??? - Kennedy - ??? - ??? - ???

??? - McKay - ??? - Frog Owner - ??? (Tea)

??? - Vaughn - ??? - Soccer Player - Duck

Now, we have realised that Ella drinks coffee and that Zoe has a dog.



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