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In a university club of 200 people, the number of Political Science majors is 50 less than 4 times the number of International Relations majors. If one fifth of the club members are neither Political Science majors nor International Relations majors, and no club member is majoring in both Political Science and International Relations, how many of the club members are International Relations majors?
  • a)
    42
  • b)
    50
  • c)
    71
  • d)
    95
  • e)
    124
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
In a university club of 200 people, the number of Political Science ma...
The correct response is (A). Let P be the number of Political Science majors and let R be the number of International Relations majors. "One fifth of the legislators are neither," so there are 1/5 *200 = 40 legislators who are neither. Hence, there are 200 – 40 = 160 Poly-Sci majors and IR majors, or P + R = 160. Translating the clause "the number of Poly-Sci majors is 50 less than 4 times the number of IR majors" into an equation yields P = 4R – 50.
Plugging this into the equation P + R = 160 yields:
4R – 50 + R = 160
5R – 50 = 160
5R = 210
R = 42
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In a university club of 200 people, the number of Political Science majors is 50 less than 4 times the number of International Relations majors. If one fifth of the club members are neither Political Science majors nor International Relations majors, and no club member is majoring in both Political Science and International Relations, how many of the club members are International Relations majors?a)42b)50c)71d)95e)124Correct answer is option 'A'. Can you explain this answer?
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