Yeah, Bryn Mawr College does provide scholarships based on merit. Here are some of them:

Bryn Mawr Merit Scholarship
Total Worth: $12,000-$30,000 per year
Eligibility: $12,000-$30,000 per year
Minimum Criteria: Based on academics
Requirement for maintenance: full time enrollment
Separate application needed: No

Bryn Mawr Posse Scholarships
Total Worth: full tuition
Eligibility: full tuition

Bryn Mawr College provides aids at an average of 47447 per student meeting 100% of students need. 99% of students with need receive financial aid at an average of 41891 need-based grant.