(Source: Mathematics Teaching in the Middle School, Oct 1995)

**Some people got on
a bus. At the first stop, 2/ 5 of the people got off and 3/ 5
of the original number got on. At the second stop, _ of the people
got off and 1/ 3 of the number that was left on the bus got on.
At the last stop, _ of the people got off, leaving 5 people on
the bus. How many people were on the bus before the bus reached
the first stop?**

Since so many students at UGA rely on the transit system (either through UGA or Athens-Clarke County), I will allow you to explore what both transit systems offer: (Please click on one of the icons below...the dawg - for the UGA transit and THE BUS for Athens-Clarke County transit...thanks to Best-Of-Web.com and http://www.gifs.net/for the great animated gifs...and to http://www.webplaces.com/html/sounds.htm for great sounds.)

I browsed through some of the routes The Bus takes on its daily mission and I found that I have been on route 14 many times as an undergraduate. To visit and check schedules click The Bus Athens Transit.

Now, let's reexamine the problem using some real-life pertinent information:

University Commons Apartments

**Some
people got on The Bus....at the UGA Arches.**

Since so many students have early morning classes, I would make the inference that

**At
the first stop, (UGA North & South Campus), 2/ 5 of the people
got off and 3/ 5 of the original number got on.**

**At
the second stop, (UGA Family Housing), _ of the people got off
and 1/ 3 of the number that was left on the bus got on.**

**At
the last stop, (University Commons Apartments), _ of the people
got off, leaving 5 people on the bus.**

since so many students live at the University Commons Apartments, many students will get off at this stop for rest, lunch, etc...so....

**How
many people were on the bus before the bus reached the first stop?**