SOLUTION: At a concert 7/12 of the audience were women and the remaining 320 were men. Find the total number of people at the concert ?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: At a concert 7/12 of the audience were women and the remaining 320 were men. Find the total number of people at the concert ?      Log On


   

Question 1063111: At a concert 7/12 of the audience were women and the remaining 320 were men. Find the total number of people at the concert ?
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
At a concert 7/12 of the audience were women and the remaining 320 were men. Find the total number of people at the concert ?
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Note: If 7/12 were women, 5/12 are men.
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Equation:
Let the total number of people be "x"::
(5/12)x = 320
(1/12)x = 64
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x = 12*64 = 768
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Cheers,
Stan H.
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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+1+-+7%2F12+=+5%2F12+
Let +t+ = total number of people at concert
+%28+5%2F12+%29%2At+=+320+
+t+=+%28+12%2F5+%29%2A320+
+t+=+12%2A64+
+t+=+768+
There are 768 people at the concert