Haha. I'm sorry, but
'What would be "very strong extracurricular"?
I have participated in all the school's sports teams and orchesta and choir but not in the past 2 years because I haven't had the time to commit to so much.'
To an Ivy, or a top LA college is sorta ridiculous. The types of schedules the kids who get into these places have, is equally ridiculous. There was a guy set for UPenn. He played Varsity football, for three hours practice every afternoon, plus a game - was captain and had been varsity for three years. He also did Varsity track, and had V and JV letters from freshman year (year seven). He was ridiculously smart, taking mostly AP subjects - aka, as high as A-level, if not broader, had 1000 hours of community service, was in various clubs and stuff, officers, etc. He's at Rutgers, which is a good uni, but not an Ivy.
The kids who DID get in - one set up an international charity against AIDS in children, is the son of a fairly influential minister, has met a lot of major people around the world, has done internships in Washington DC's oldest think-tank, had perfect scores, athletic requirements, community service, runs his own company, and manages not to be an arsehole ALL the time! - is at Harvard.
They make time. Seriously. Kids will sleep six hours a night, get up, shower, do school from eight til two/three, then spend three hours doing sport/activities, eat dinner, spend an hour in an extracurric, then do homework for two/three hours, then socialise/extracurrics, then sleep six hours and repeat. At weekends, you get serious amounts of extracurrics and community service, plus sport matches, crammed in.