Carcass wrote:
Of the 4800 residents of an apartment complex, 1/4 are college students. Suppose the number of college students is reduced by 1/3. If no other changes occur, what portion of the total remaining residents are college students?
A. 1/12
B. 2/11
C. 1/8
D. 1/6
E. 1/5
Of the 4800 residents of an apartment complex, 1/4 are college students.1/4 of 4800 = 1200
So, there are
1200 college students, and the remaining
3600 residents are NOT college students
Suppose the number of college students is reduced by 1/3.1/3 of
1200 = 400
So, the number of college students remaining =
1200 - 400 =
800If no other changes occur, what portion of the total remaining residents are college students?The number of residents remaining =
3600 +
800 = 4400
Since
800 of those remaining 4400 residents are college students, the answer =
800/4400 = 8/44 = 2/11
Answer: B
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Brent Hanneson - founder of Greenlight Test Prep