Answer:
675 total attendees at the conference.
Explanation:
Let x represent total attendees at the conference.
We have been given that at a conference the organizer determined at 32% of the attendees were between the ages of 18 and 29. There were 216 attendees in this age range. We are supposed to find the total attendees at the conference.
To find the number of total attendees at the conference, we will set as equation where 32% of x is equal to 216.
![(32)/(100)x=216](https://img.qammunity.org/2021/formulas/mathematics/high-school/2y5mpxmkr2noawde4u9ibfxxjryfxg0q2g.png)
![0.32x=216](https://img.qammunity.org/2021/formulas/mathematics/high-school/jc6mmg78dpk8kpopt0v9j3p1mhkrysbwf3.png)
![(0.32x)/(0.32)=(216)/(0.32)](https://img.qammunity.org/2021/formulas/mathematics/high-school/quy64k11ufpzlf3kkq5l7lm3tzbwkaxjmc.png)
![x=675](https://img.qammunity.org/2021/formulas/mathematics/high-school/j3nwx4a0s3h2c6i4n7x47ghz62v74z85xp.png)
Therefore, there were 675 total attendees at the conference.