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There were 8,000 people at a concert hall at first. 40% of the people at the concert were men and the rest were women. After some men and 50 women left, the ratio of the number of men to women who remained in the concert hall was 3 : 5. How many people left the concert hall?

 
 Apr 28, 2021
edited by Guest  Apr 28, 2021
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8000 * .40   = 3200 were originally men

 

So

 

8000   - 3200     =   4800 were women

 

When 50 women left there  were  4750

 

Let  x  be  the  number of men who left

 

And we  ,now  that

 

3200 -  x              3

________  =      ___            cross-multiply

4750                  5

 

5 (3200 - x)  =  3(4750)

 

16000 -  5x  =  14250

 

16000 - 14250  =  5x

 

1750  = 5x

 

1750 /  5   =    350  men left

 

So   50  + 350  = 400 left

 

cool cool cool

 
 Apr 28, 2021

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