Iknow the answer but i don't know how the book got it.

question:
a teacher accompanied her students on a trip to the museum. she wanted to be certain that she kept track of all the students during the trip, so she counted the students by the color of the coats they were wearing. one-half of the students wore black coats, one-sixth wore red, one-fourth wore blue, and the remaining two students wore green. how many students went on the trip?


t=total # of students
1/2t+1/6t+1/4t+2=t
i know how to convert common denominator so
6/12t+2/12t+3/12t+2=t
but how did they get:
2=1/12t
t=24

Read the excerpt from the strange case of dr jekyll and mr. hyde what do dr. jekyll's thoughts reveal about him in this excerpt? [t]he inmates of my house were locked in the most rigorous hours of slumber, and i determined, flushed as i was with hope and triumph, to venture in my new shape as far as to my bedroom. i crossed the yard, wherein the constellations looked down upon me, i could have thought, with wonder, the first creature of that sort that their unsleeping vigilance had yet disclosed to he is jealous of those who can sleep through the night. he is revered for his scientific advances. he is interested in studying the movements of the stars he is proud and enthusiastic about his initial results.