What is the percent of students who ride the buses?

Question

Eastside elementary has the same number of students as Westside elementary. One half of the students at Eastside ride buses to school, and two thirds of the students at Westside ride buses to school. One sixth of the students at Eastside are female, and one third of the students at Westside are female. All of the female students at both schools ride the buses. By setting up and simplifying a complex fraction, what percentage of the students who ride the buses are female?

Answer 1

EASTSIDE                                         WESTSIDE

 

1/2X                                                    2/3X                <---- bus riders

 

1/6X                                                    1/3X                <--- female

 

 

1/6X divided by  1/2X =

1/6 divided by 1/2 <--- X cancels out

1/6 * 2/1  <--- remember KFC: keep, change, flip when dividing fractions

2/6

= 1/3 of the bus riders at eastside are female

 

 

1/3X divided by 2/3X

1/3 divided by 2/3

1/3 times 3/2  <---- KFC

3/6 

1/2 of the bus riders at westside are female