Question

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 ?

A) 550 B) 575 C) 625 D) 700

Answer 1

Answer:

Total number of students in the college is $700$.

Step-by-step explanation:

Number of students participated in sports $=300$.

That is one third of boys and one half of girls $=300$

Let number of boys be $x$ and girls be $y$, then

$\frac{x}{3}+\frac{y}{2} =300$

Given number of boys $=100$,  that is

$\frac{x}{3} =100\\\\x=300$,

so total number of boys $=300$

similarly we get number of girls  $=300-100=200$,  that is

$\frac{y}{2} =200\\\\y=400$

so total number of girls $=400$

Hence total number students $=300+400=700$

Hence the answer

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