### Brain Teasers

# College of Kebabology

In a certain year, the number of girls who graduated from the Madadian High School was twice the number of boys. If 3/4 of the girls and 5/6 of the boys went to Madadia's college of Kebabology immediately after graduation, what fraction of the graduates that year went to college immediately after graduation?

### Answer

Assume that number of boys graduated from the Madadian High School = BTherefore, number of girls graduated from the Madadian High School = 2*B

It is given that 3/4 of the girls and 5/6 of the boys went to the college of kebabology immediately after graduation.

Hence, total students went to the college

= (3/4)(2*B) + (5/6)(B)

= B * (3/2 + 5/6)

= (7/3)B

Fraction of the graduates that year went to college immediately after graduation

= [(7/3)B] / [3*B]

= 7/9

Therefore, the answer is 7/9

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