SOLUTION: Some adults attended a conference. 3/5 of the women and 5/9 of the men left after the conference and the rest stayed for refreshments. There was an equal number of women and men wh

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Some adults attended a conference. 3/5 of the women and 5/9 of the men left after the conference and the rest stayed for refreshments. There was an equal number of women and men wh      Log On


   

Question 1119465: Some adults attended a conference. 3/5 of the women and 5/9 of the men left after the conference and the rest stayed for refreshments. There was an equal number of women and men who stayed for the refreshments. If there were 304 adults at first, how many men attended the conference.
Found 2 solutions by josmiceli, solver91311:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = the number of women who attended at first
Let +b+ = the number of men who attended at first
--------------------------------------------------
(1) +a+%2B+b+=+304+
(2) +%282%2F5%29%2Aa+=+%284%2F9%29%2Ab+
-----------------------------
(1) +b+=+304+-+a+
(2) +%282%2F5%29%2Aa+=+%284%2F9%29%2A%28+304+-+a+%29+
Multiply both sides by +5%2A9+=+45+
(2) +18a+=+20%2A%28+304+-+a+%29+
(2) +18a+=+6080+-+20a+
(2) +38a+=+6080+
(2) +a+=+160+
and
(1) +b+=+304+-+160+
(1) +b+=+144+
--------------------------
144 men attended at first

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the number of men that attended. Then the number of women that attended must be .

Since of the women left, of the women must have remained. Likewise, of the men remained.

Then we are given that:



Solve for


John

My calculator said it, I believe it, that settles it