Question:
An hour before show time, only 155 people are seated for rockfest. According to the ticket sales, 95% of the people have yet to arrive. How many tickets were sold?
Answer:
3100 tickets
Step-by-step explanation:
Given
[tex]p = 95\%[/tex] --- Yet to arrive
[tex]Seated = 155[/tex]
Required
Determine the total number of people
If 95% are yet to arrive, then 5% have arrived (i.e. 100% - 95%)
So, the total number of people is calculated as:
[tex]5\% * x = 155[/tex]
Where x represents the total number of tickets
Make x the subject
[tex]x = \frac{155}{5\%}[/tex]
[tex]x = \frac{155}{0.05}[/tex]
[tex]x = 3100[/tex]
