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At a book fair, \({1 \over 4}{}{}\) of the people bought 1 book. \( {3\over 5 }{}{}\) of the remaining 

people bought 2 books each and the rest of the people bought 3 

books each. A total of 4469 books were sold. How many people

were at the book fair?

 Sep 9, 2021
 #1
avatar+34376 
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1/4 x     +      (x - 1/4x)(3/5) *2      +          (x-1/4x)(2/5) * 3 = 4469        solve for 'x'

 Sep 9, 2021
 #2
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let 1/4y people 1x

 

2 books  =  3 * 3/5

               =  9/5    
5 - 3 = 2
3 books  =  3 * 2/5

              =  6/5

 1x * 1 + 9/5x * 2 = 6/5x * 3 = 4469

            5/5x + 18/5x + 18/5x = 4469

                                    4 1/5x = 4469

                                            x = 545

 

total no. y people 

 = 4x

 = 4 * 545

 = 2180

 Sep 9, 2021

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