Cedars wrote:

.. is the ratio of the number of full-time employees to the number of part-time employees greater for Division X than for Company Z?

(2) More than half of the full-time employees of Company Z are employees of Division X, and more than half of the part-time employees of Company Z are employees of Division Y

writing the equation might help to come up with general solution ( assumign the equation is correct:-)

...............Dept X.....Dept Y.....Company Z

full time... 0.501f.....0.499f...... f

part time..0.499p....0.501p..... p

the stem asks if

0.501f / 0.499p > f/p

0.501 /0.499 > 1

hence (0.501 /0.499) * (f/p) > f/p