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
Explanation:
Given
--- Yet to arrive
![Seated = 155](https://img.qammunity.org/2022/formulas/mathematics/high-school/5ihhgna70ya6nu5q3t09yvxzshkq3bxk0d.png)
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:
![5\% * x = 155](https://img.qammunity.org/2022/formulas/mathematics/high-school/zi3mcmr7z15ipa5660ycirhzdae01hvnms.png)
Where x represents the total number of tickets
Make x the subject
![x = (155)/(5\%)](https://img.qammunity.org/2022/formulas/mathematics/high-school/z5ptuyz5u8bs71rk5wijreh18ytld09t0p.png)
![x = (155)/(0.05)](https://img.qammunity.org/2022/formulas/mathematics/high-school/nvo4u5g7cq4i4brr5hzjay9ye7k3kywpxk.png)
![x = 3100](https://img.qammunity.org/2022/formulas/mathematics/high-school/dxc10t3o6q2i9t6fenkjt1vknw2c54t8v7.png)