a quick search gets me this. admittedly only a study on princeton applicants:

Data for the 1997 entering class indicate that eliminating affirmative action would reduce acceptance rates for African-American and Hispanic applicants by as much as one-half to two-thirds and have an equivalent impact on the proportion of underrepresented minority students in the admitted class. White applicants would benefit very little by removing racial and ethnic preferences; the white acceptance rate would increase by roughly 0.5 percentage points. Asian applicants would gain the most. They would occupy four out of every five seats created by accepting fewer African-American and Hispanic students. The acceptance rate for Asian applicants would rise by one-third from nearly 18 percent to more than 23 percent. We also show that, even though athlete and legacy applicants are disproportionately white and despite the fact that athlete and alumni children admission bonuses are substantial, preferences for athletes and legacies do little to displace minority applicants, largely because athletes and legacies make up a small share of all applicants to highly selective universities.