1. There are several patrons watching television in the bar.The waitress demands
ID: 2939890 • Letter: 1
Question
1. There are several patrons watching television in the bar.The waitress demands to see the ID of each patron and notes the ageof each. She then calculate the sum of every possible pair (twodiffernt people) of ages and gets the number: 50, 53, 56, 58, 59,62, 64, 65, 67 and 70. 1. How many people were in the bar? 2. How many times does an individual's age occur as asummand? 3. What is the sum of the ages? 4. What is the sum of two ages of the oldest two peoplein the bar? 5. Determine the ages of the individual patrons. 2. As we all know, a zip code consists of 5 digits. 1. How many zip codes are there? 2. How many zip codes are there can be read upside down( that is, turn the envelope around and read the 5 digits without knowingthat it is upside down)? we will agree that the digits 1,8,0,6 and9 are the only ones which can be read upside down. 3. How many zip codes are there that when read upsidedown give you the same zip code?4. If the post office refuses to use any combination thatwhen read upside down could be taken for a different zip codes, howmany zip codes arethere? 1. There are several patrons watching television in the bar.The waitress demands to see the ID of each patron and notes the ageof each. She then calculate the sum of every possible pair (twodiffernt people) of ages and gets the number: 50, 53, 56, 58, 59,62, 64, 65, 67 and 70. 1. How many people were in the bar? 2. How many times does an individual's age occur as asummand? 3. What is the sum of the ages? 4. What is the sum of two ages of the oldest two peoplein the bar? 5. Determine the ages of the individual patrons. 2. As we all know, a zip code consists of 5 digits. 1. How many zip codes are there? 2. How many zip codes are there can be read upside down( that is, turn the envelope around and read the 5 digits without knowingthat it is upside down)? we will agree that the digits 1,8,0,6 and9 are the only ones which can be read upside down. 3. How many zip codes are there that when read upsidedown give you the same zip code?
4. If the post office refuses to use any combination thatwhen read upside down could be taken for a different zip codes, howmany zip codes arethere?
Explanation / Answer
CRAMSTER POLICY IS 1Q PERPOSTANSWERING Q1
PLEASE POST Q2 SEPARATELY
Question Details: 1. There are several patrons watching television in the bar.The waitress demands to see the ID of each patron and notes the ageof each. She then calculate the sum of every possible pair (twodiffernt people) of ages and gets the number: 50, 53, 56, 58, 59,62, 64, 65, 67 and 70. 1. How many people were in the bar?
THERE ARE 10 COMBINATIONS
FOR N PEOPLE WE GET NC2 COMBINATIONS
NC2=10
N=5 ....SAY A,B,C,D,E ...
LET THEIR AGES BE ALSO REPRESENTED BY A,B,C,D,E IN INCREASINGORDER.
2. How many times does an individual's age occur as asummand?
EACH PERSON IS COMBINED WITH EACH OTHER ONCE
SO WE GET 4 DIFFERENT COMBINATIONS INVOLVING ONE
DIFFERENT PERSONS EACH .
3. What is the sum of the ages?
SINCE EACH IS REPEATED 4 TIMES WE GET THE ACTUAL SUM OF AGES AS
[50+53+56+58+59+62+64+65+67+70]/4 = 604/4 = 151
A+B+C+D+E=151 ......IS THE ACTUAL SUM OF ALL AGES
4. What is the sum of two ages of the oldest two peoplein the bar?
LET D AND E BE THE OLDEST PEOPLE,A AND B THE YOUNGEST AND C THEMIDDILE
D+E = 70 .......SUM OF AGE OF OLDEST PEOPLE
5. Determine the ages of the individual patrons.
A+B=50
C=A+B+C+D+E-[(A+B)+(D+E)] =151-50-70=31
NEXT GREATER SUM TO THE LEAST SUM = A+C=53....
HENCE
A=53-31=22......AND.....B=50-22=28
SIMILARLY, NEXT LESSER SUM TO THE HIGHEST SUM = C+E=67..
HENCE
E=67-31=36........AND.........D=70-36=34
SO E GET
A=22...B=28...C=31...D=34...E=36
======================================================
2. As we all know, a zip code consists of 5 digits. 1. How many zip codes are there? 2. How many zip codes are there can be read upside down( that is, turn the envelope around and read the 5 digits without knowingthat it is upside down)? we will agree that the digits 1,8,0,6 and9 are the only ones which can be read upside down. 3. How many zip codes are there that when read upsidedown give you the same zip code?
4. If the post office refuses to use any combination thatwhen read upside down could be taken for a different zip codes, howmany zip codes are there?
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.