The cities of Urdaneta, San Carlos, Dagupan, and Alaminos held conventions this summer for collectors of coins, stamps, comic books, and Christmas cards. From the following clues, determine which collectors met in which city. a) The comic book collectors' convention was in August, as was the convention held in San Carlos. b) The Christmas card collectors did not meet in Dagupan, and the coin collectors did not meet in Alaminos or San Carlos. c) The convention in Urdaneta was held during the week of July 4, whereas the coin collectors' convention was held the week after that. d) The convention in San Carlos had more collectors attending it than did the stamp collectors convention.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
100%
The first image is the given and the second in the example. How to answer this?
2. The cities of Urdaneta, San Carlos, Dagupan, and Alaminos held conventions this summer for collectors of
coins, stamps, comic books, and Christmas cards. From the following clues, determine which collectors met
in which city.
a) The comic book collectors' convention was in August, as was the convention held in San Carlos.
b) The Christmas card collectors did not meet in Dagupan, and the coin collectors did not meet in
Alaminos or San Carlos.
c) The convention in Urdaneta was held during the week of July 4, whereas the coin collectors' convention
was held the week after that.
d) The convention in San Carlos had more collectors attending it than did the stamp collectors convention.
Transcribed Image Text:2. The cities of Urdaneta, San Carlos, Dagupan, and Alaminos held conventions this summer for collectors of coins, stamps, comic books, and Christmas cards. From the following clues, determine which collectors met in which city. a) The comic book collectors' convention was in August, as was the convention held in San Carlos. b) The Christmas card collectors did not meet in Dagupan, and the coin collectors did not meet in Alaminos or San Carlos. c) The convention in Urdaneta was held during the week of July 4, whereas the coin collectors' convention was held the week after that. d) The convention in San Carlos had more collectors attending it than did the stamp collectors convention.
Puzzles
Example:
Each of four neighbors, Sean, Maria, Sarah, and Brian, has a different occupation (editor, banker,
chef, or dentist). From the following clues, determine the occupation of each neighbor.
1. Maria gets home from work after the banker but before the dentist.
2. Sarah, who is the last to get home from work, is not the editor.
3. The dentist and Sarah leave for work at the same time.
4. The banker lives next door to Brian.
Solution:
From clue 1, Maria is not the banker or the dentist. In the following chart, write X1 (which stands for
"ruled out'by clue 1") in the Banker and the Dentist columns of Maria's row.
From clue 2, Sarah is not the editor. Write X2 (ruled out by clue 2) in the Editor column of Sarah’s row.
We know from clue 1 that the banker is not the last to get home, and we know from clue 2 that Sarah is the last
to get home; therefore, Sarah is not the banker. Write X2 in the Banker column of Sarah’s row.
From clue 3, Sarah is not the dentist. Write X3 for this condition. There are now Xs for three of the four
occupations in Sarah's row; therefore, Sarah must be the chef. Place a in that box. Since Sarah is the chef,
none of the other three people can be the chef. Write X3 for these conditions. There are now Xs for three of the
four occupations in Maria's row; therefore, Maria must be the editor. Insert a to indicate that Maria is the
editor, and write X3 twice to indicate that neither Sean nor Brian is the editor.
From clue 4, Brian is not the banker. Write X4 for this condition. Since there are three Xs in the Banker
column, Sean must be the banker. Place a in that box. Thus, Sean cannot be the dentist. Write X4 in that box.
Since there are 3 Xs in the Dentist column, Brian must be the dentist. Place a in that box.
Editor
Banker
Chef
Dentist
Sean
X3
X3
X4
Maria
XI
X3
X1
Sarah
X2
X2
X3
X3
X4
X3
Brian
Transcribed Image Text:Puzzles Example: Each of four neighbors, Sean, Maria, Sarah, and Brian, has a different occupation (editor, banker, chef, or dentist). From the following clues, determine the occupation of each neighbor. 1. Maria gets home from work after the banker but before the dentist. 2. Sarah, who is the last to get home from work, is not the editor. 3. The dentist and Sarah leave for work at the same time. 4. The banker lives next door to Brian. Solution: From clue 1, Maria is not the banker or the dentist. In the following chart, write X1 (which stands for "ruled out'by clue 1") in the Banker and the Dentist columns of Maria's row. From clue 2, Sarah is not the editor. Write X2 (ruled out by clue 2) in the Editor column of Sarah’s row. We know from clue 1 that the banker is not the last to get home, and we know from clue 2 that Sarah is the last to get home; therefore, Sarah is not the banker. Write X2 in the Banker column of Sarah’s row. From clue 3, Sarah is not the dentist. Write X3 for this condition. There are now Xs for three of the four occupations in Sarah's row; therefore, Sarah must be the chef. Place a in that box. Since Sarah is the chef, none of the other three people can be the chef. Write X3 for these conditions. There are now Xs for three of the four occupations in Maria's row; therefore, Maria must be the editor. Insert a to indicate that Maria is the editor, and write X3 twice to indicate that neither Sean nor Brian is the editor. From clue 4, Brian is not the banker. Write X4 for this condition. Since there are three Xs in the Banker column, Sean must be the banker. Place a in that box. Thus, Sean cannot be the dentist. Write X4 in that box. Since there are 3 Xs in the Dentist column, Brian must be the dentist. Place a in that box. Editor Banker Chef Dentist Sean X3 X3 X4 Maria XI X3 X1 Sarah X2 X2 X3 X3 X4 X3 Brian
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Reflections
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,