Question

At a book fair, 1/4 of the people bought 1 book.3/5 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?
​

Answer 1

2,180 people

Explanation:

Let

x-----> number of people at the book fair

we know that

1) 1/4 of the people bought 1 book each

(1/4)x=(5/20)x

2) 3/5 of the remaining people bought 2 books each

The remaining people is (3/4)x

so

(3/5)(3/4)x=(9/20)x

3) the rest of the people bought 3 books each

The rest of the people is x-(5/20)x-(9/20)x=(6/20)x

The linear equation that represent this situation is

(1)*(5/20)x+(2)*(9/20)x+(3)*(6/20)x=4,469

(5/20)x+(18/20)x+(18/20)x=4,469

(41/20)x=4,469

x=4,469*20/41

x=2,180 people