Given:
An hour before showtime only 105 people have arrived for a concert.
According to sales 95% of the people have yet to arrive.
To find:
The total number of tickets sold.
Solution:
Let x be the total number of tickets sold.
According to sales 95% of the people have yet to arrive.
[tex]100\%-95\%=5\%[/tex]
It means, only 5% people have arrived.
[tex]\dfrac{5}{100}x=105[/tex]
[tex]\dfrac{1}{20}x=105[/tex]
[tex]x=105\times 20[/tex]
[tex]x=2100[/tex]
Therefore, the total 2100 tickets were sold.