To determine the total number of worshippers in the church, we can follow these steps:
1. Identify the Given Information:
- [tex]\( 65\% \)[/tex] of the worshippers are children.
- There are 280 adults in the church.
2. Understand the Relationship:
- Let the total number of worshippers be [tex]\( T \)[/tex].
- Since [tex]\( 65\% \)[/tex] of the worshippers are children, [tex]\( 35\% \)[/tex] of the worshippers are adults.
- Mathematically, this can be written as:
[tex]\[
0.35 \times T = 280
\][/tex]
3. Solve for the Total Number of Worshippers:
- Rearrange the equation to solve for [tex]\( T \)[/tex]:
[tex]\[
T = \frac{280}{0.35}
\][/tex]
4. Calculate the Total Number of Worshippers:
- Substituting the values into the equation, we find:
[tex]\[
T = 800
\][/tex]
5. Determine the Number of Children:
- Since [tex]\( 65\% \)[/tex] of the worshippers are children:
[tex]\[
\text{Number of Children} = 0.65 \times 800 = 520
\][/tex]
6. Conclusion:
- There are 520 children in the church.
- The total number of worshippers in the church is 800.
So, the total number of worshippers in the church is 800.
