A team of college administartors caputured and atgged a group of 90 fraternity men and then returned them to the universiry campus. Later a group of soroity women wishing to stimate the amount of fraternity men on campus caputred 215 men and found they were tagged. How many frat men would they stimate that were on campus

125

Step-by-step explanation:

The college administrators captured the 90 fraternity men and tagged them, then they returned them to the university campus.

Let there were x tagged fraternity men already on the university campus, so, the total number of tagged fraternity men on the campus become x+90.

Later a group of sorority women captured 215 tagged men, in which the 90 tagged men added by the college administration are included.

So, x+90=215

Hence, the number of fraternity men on the campus was 125.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

the answer is  

a.

28 ft2

step-by-step explanation: