One-third of the boys and one-half of the girls of a college participated in a sport. If the number of participating students is 300, out of which 100 are boys. What is the total number of students in the college?
Solution
Correct Answer: Option D
Let number of boys in the school = x
Let number of girls in the school = y
Number of students participated in the sports = 300
Out of which boys = 100
but given number of boys participated in sports = x/3
=> x/3 = 100
=> x = 300
Remaining girls = 300 - 100 = 200
=> y/2 = 200
=> y = 400
Therefore, total number of students in the school = x + y = 300 + 400 = 700
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