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In College X in the United States, there are 200 students in a class, of which  80 are female. If 10% of the class consists of female non-American students and 3/5th of the class are American students, how many of the students in the class are male American students?
  • a)
    20
  • b)
    40
  • c)
    60
  • d)
    80
  • e)
    120
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In College X in the United States, there are 200 students in a class, ...
Given
  • Number of students in the class = 200
  • Number of female students = 80
    • So, number of male students = 200 – 80 = 120
  • Number of female non-American students = 10% of 200 = 20
  • Number of American students = 3/5 * 200 = 120
 
To Find: Number of students who are male Americans?

Approach
1. To find the number of male americans, we will use the relation:
  1. Number of American students = Number of female American students + Number of male American students             
  2. We know the number of American students, but we do not know the number of female American students.
  3. So, we need to find the number of female American students
2. Now, Number of female students = Number of female American students + Number of female non-American students
  1. As we know the number of female students and the number of female non-American students, we can calculate the the number of female American students
 
Working Out
  1. Number of female students = 80
    1. Number of female non-American students = 20
    2. Number of female American students = 80 – 20 = 60
 
  1. Number of American students = 120
    1. Number of female American students = 60 (calculated above)
    2. So, Number of male American students = 120 – 60 = 60
So, there are 60 male American students.
Answer: C
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In College X in the United States, there are 200 students in a class, of which 80 are female. If 10% of the class consists of female non-American students and 3/5th of the class are American students, how many of the students in the class are male American students?a)20b)40c)60d)80e)120Correct answer is option 'C'. Can you explain this answer?
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