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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 ?

Correct Answer: 700

Explanation:

Let number of boys = B


Number of girls = G


From the given data,


1B/3 + 1G/2 = 300


But given B/3 = 100


=> B = 300


G/2 = 300 - 100


G = 200 x 2


=> G = 400


Therefore, total number of students in the college = B + G = 700.


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