To determine the total number of girls participating in fine arts programs for the two high schools, we need to sum the number of girls in each fine arts category (Chorus, Band, and Drama) for both Liberty High School and Brown High School.
Here's a detailed step-by-step solution:
### Liberty High School
1. Chorus: 22 girls
2. Band: 25 girls
3. Drama: 17 girls
To find the total number of girls at Liberty High School participating in fine arts:
[tex]\[
22 \, (\text{Chorus}) + 25 \, (\text{Band}) + 17 \, (\text{Drama}) = 64 \text{ girls}
\][/tex]
### Brown High School
1. Chorus: 12 girls
2. Band: 30 girls
3. Drama: 15 girls
To find the total number of girls at Brown High School participating in fine arts:
[tex]\[
12 \, (\text{Chorus}) + 30 \, (\text{Band}) + 15 \, (\text{Drama}) = 57 \text{ girls}
\][/tex]
### Total for both schools
To find the total number of girls participating in fine arts from both high schools:
[tex]\[
64 \, (\text{Girls from Liberty}) + 57 \, (\text{Girls from Brown}) = 121 \text{ girls}
\][/tex]
Therefore, the total number of girls participating in fine arts programs for the two high schools is:
[tex]\[
\boxed{121}
\][/tex]
