In fall 2003, UCLA admitted 24% of its California resident applicants, 22% of its applicants from other U.S. states, and 18% of its international student applicants. Of all its applicants, 87% were California residents, 9% were from other U.S. states, and 4% were international students. What percentage of all admitted students were California residents (Round your answer to the nearest 1%.) ?
A)89%
B) 87%
C) 85%
D) 80%
E) 20%

Question

In fall 2003, UCLA admitted 24% of its California resident applicants, 22% of its applicants from other U.S. states, and 18% of its international student applicants. Of all its applicants, 87% were California residents, 9% were from other U.S. states, and 4% were international students. What percentage of all admitted students were California residents  (Round your answer to the nearest 1%.) ?
A)89%
B) 87%
C) 85%
D) 80%
E) 20%

Quizplus · Accepted Answer

To find the percentage of all admitted students who were California residents, we calculate the number of admitted students from each group and then find the proportion of those who were California residents. Let's assume UCLA received 100 applications to simplify calculations. According to the given percentages:- 87 California residents applied, and 24% of them were admitted, which is 0.24 * 87 = 20.88.- 9 applicants were from other U.S. states, and 22% of them were admitted, which is 0.22 * 9 = 1.98.- 4 international students applied, and 18% of them were admitted, which is 0.18 * 4 = 0.72.Adding these numbers gives the total number of admitted students: 20.88 + 1.98 + 0.72 = 23.58.The percentage of admitted students who were California residents is then (20.88 / 23.58) * 100 = 88.6%, which rounds to 89%.

In Fall 2003, UCLA Admitted 24% of Its California Resident