Ask Question
Social StudiesSocial Studies
23 May, 17:23

3838 of all students at Social High are in all three of the following clubs: Albanian, Bardic, and Checkmate. 1212 of all students are in Albanian, 5858 are in Bardic, and 3434 are in Checkmate. If every student is in at least one club, what fraction of the student body is in exactly 2 clubs

+5
Answers (2)
  1. 23 May, 17:32
    0
    1/8

    Explanation:

    Assuming there are say 40 students at Social high

    No of students in all 3 clubs will be

    3/8 x 40 = 15 students

    The no of students in Albanian club will be

    1/2 x 40 = 20 students

    The number of students in Bardic club will be

    5/8 x 40 = 25 students

    The number of students in Checkmate club will be

    3/4 x 40 = 30 students

    Number of students in none of the club = 0

    If we use B to denote the number of student in 2 clubs exactly, then using the knowledge of Sets and Venn Diagram we know that

    Total number of students at social High = (Number of students at Albanian Club) + (Number of students at Bardic Club) + (Number of students at Checkmate Club) - (Number of Students in exactly two clubs) - 2 x (Total number of students in all 3 clubs) + (Number of student in none of the clubs)

    40 = 20 + 25 + 30 - B - 2 (15) + 0

    B = 75 - 40 - 30

    B = 5

    Hence the fraction of students in exactly 2 clubs will be = number of students in exactly 2 clubs/Total number of students at Social High

    = 5/80

    = 1/8
  2. 23 May, 17:36
    0
    This Question is not correct.

    The Correct Question is below

    3/8 of all students at Social High are in all three of the following clubs: Albanian, Bardic, and Checkmate. 1/2 of all students are in Albanian, 5/8 are in Bardic, and 3/4 are in Checkmate. If every student is in at least one club, what fraction of the student body is in exactly 2 clubs?

    (A) 1/8

    (B) 1/4

    (C) 3/8

    (D) 1/2

    (E) 5/8

    Answer:

    (A) 1/8

    Explanation:

    Let us assume that the total number of students at Social High is = 32

    Therefore,

    Since 3/8 of all students are in all 3 clubs,

    The total number of students in the 3 clubs = (3:8) * 32 = 12

    Since 1/2 of all students are in Albanian club,

    The total number of students in the Albanian club = (1:2) * 32 = 16

    Since 5/8 of all students are in Bardic club,

    The total number of students in the Bardic club = (5:8) * 32 = 20

    Since 3/4 of all students are in Checkmate club,

    The total number of students in the Checkmate club = (3:4) * 32 = 24

    From above information in the question, we know that zero (0) students are in none of the clubs.

    Let X be given as the number of students in exactly two clubs, we can now use the equation:

    Total number of Students at Social High = (Total number of students at Albanian club) + (Total number of students at Bardic club) + (Total number of students at Checkmate club) - (Total number of Students in exactly two clubs) - 2 (Total number of students

    in all the 3 clubs) + none

    32 = 16 + 20 + 24 - X - 2 (12) + 0

    32 = 36 + 24 - X - 24

    X = 36-32

    X = 4

    Therefore, the fraction of people in exactly two clubs = The total number of students in exactly two clubs / The total number of students at Social High

    = 4/32

    = 1/8

    The fraction of students in exactly two club is 1/8.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “3838 of all students at Social High are in all three of the following clubs: Albanian, Bardic, and Checkmate. 1212 of all students are in ...” in 📗 Social Studies if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers
You Might be Interested in
What's the difference between a community college and a university?
Answers (1)
Which of the following describe research in the field of behavioral psychology? Select all that apply. objective subjective follows the scientific method follows specific life stages
Answers (1)
What is the practice where the differences between low-end and high-end jobs become greater and the number of people in the middle levels decreases? polarization meritocracy outsourcing structural unemployment
Answers (1)
Most of the people in the southeast live a. in rural areas where agriculture is healthy and economic opportunities are plentiful. b. in or near Rio de Janeiro and São Paulo. c. in favelas scattered throughout the region. d.
Answers (2)
Fred is a 20-year-old who lives in a large metropolitan city. He graduated high school but decided that he would get a job immediately following high school instead of going to college.
Answers (1)
New Questions in Social Studies
Whether studying a small temple in a remote village or the most famous Catholic cathedral in Rome, anthropologiststry to convey each religion's sense of moral order, dynamic public expressions, and: a. Truthfulness b.
Answers (1)
What three categories of information would you use for a report on the jamestown colony?
Answers (1)
There are many approaches to the study of religion in anthropology. one approach is to ask the question: what does religion do? what roles does religion play in human societies? this approach is referred to as the:
Answers (1)
What areas of Europe were spared the disease? Why?
Answers (1)
Which soil is better between the soil hillside or the soil on a valley floor
Answers (1)
Home » Social Studies » 3838 of all students at Social High are in all three of the following clubs: Albanian, Bardic, and Checkmate. 1212 of all students are in Albanian, 5858 are in Bardic, and 3434 are in Checkmate.
Sign Up Forgot Password?