Question 1122645
60% of all college graduates cannot find a job in their profession.


that means that 40% can.


26% of all college graduates who can find a job are women.


that means that 74% of all college graduates who can find a job are men.


you are also given that 57% of the college graduates who cannot find a job are men.


that means that 43% of the college graduates who cannot find a job are men.


consider that 60% of all college graduates can't find a job and that 43% of them are men.


that means that .43 * 60% = 25.8% of all college graduates who cannot find a job are men.


consider that 40% of all college graduates can find a job and that 74% of them are men.


that means that .74 * 40% = 29.6% of all college graduates who can find a job are men.


you have 25.8% of all college graduates who cannot find a job are men and you have 29.6% of all college graduates who can find a job are men.


that means that 29.6% + 25.8% = 55.4% of all college graduates are men.


of the college graduates who are men, 29.6% / 55.4% = 53.42960289% of them can find a job after graduation.


i believe that answers the question.


you could build a table as shown below:


<pre>

                           male      female      total
can find a job             29.6%      10.5%       40%
cannot find a job          25.8%      34.2%       60%
total                      55.4%      44.6%      100%

</pre>


the table is populated as follows:


60% of all college graduates can't find a job.
that means 40% can.


26% of all college graduates who can find a job are female.
.26 * 40 = 10.4% of all college graduates who can find a job are female.


26% of all college graduates who can find a job are female means that 74% of all college graduates who can find a job are male.
.74 * 40 = 29.6% of all college graduates who can find a job are male.


57% of all college graduates who can't find a job are female.
.57 * 60 = 34.2% of all college graduates who can't find a job are female.


57% of all college graduates who can't find a job are female means that 43% of all college graduates who can't find a job are male.
.43 * 60 = 25.8% of all college graduates who can't find a job are men.


add up the columns to get 55.4% males and 44.6% females.
add up the rows to get 40% can't find a job and 60% can find a job.


that completes the table.


to see if this makes sense, assume there are 1000 college graduates.
40% can find a job and 60% can't.
that makes 400 who can and 600 who can't.
of the ones who can, 26% are female.
that makes 104 females 296 males who can find a job.
of the ones who can't, 57% are female.
that makes 342 females and 258 males who can't find a job.
the total number of males is 296 + 258 = 554.
out of those, 296 can find a job.
the percentage of males who can find a job is 296 / 554 = 53.42960289%.