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All students in a certain law school are in either first, second, or third year,

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by BTGModeratorVI » Wed Jan 06, 2021 8:16 am

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All students in a certain law school are in either first, second, or third year, and there is an equal number of students in each year. All students in the school are either full-time or part-time, and there are twice as many full-time students as part-time students. All students in first year are full-time, and there are as many part-time students in second year as there are in third year. If there are 600 total students in the law school, how many are full-time students in third year?

a. 100
b. 200
c. 300
d. 400
e. 500

Answer: A
Source: Princeton Review
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Re: All students in a certain law school are in either first, second, or third year,

by Brent@GMATPrepNow » Thu Jan 07, 2021 7:21 am
BTGModeratorVI wrote: ↑
Wed Jan 06, 2021 8:16 am
 All students in a certain law school are in either first, second, or third year, and there is an equal number of students in each year. All students in the school are either full-time or part-time, and there are twice as many full-time students as part-time students. All students in first year are full-time, and there are as many part-time students in second year as there are in third year. If there are 600 total students in the law school, how many are full-time students in third year?

a. 100
b. 200
c. 300
d. 400
e. 500

Answer: A
Source: Princeton Review
There are twice as many full-time students as part-time students...There are 600 total students in the law school
Let x = number of part-time students
So, 2x = number of full-time students
We can write: x + 2x = 600
Simplify: 3x = 600
Solve: x = 200
So, there are 200 part-time students and 400 full-time students

All students in a certain law school are in either first, second, or third year, and there is an equal number of students in each year.......there are 600 total students in the law school
600/3 = 200
So, there are:
200 students in first year
200 students in second year
200 students in third year

All students in first year are full-time, and there are as many part-time students in second year as there are in third year.
So, the 200 part-time students are equally distributed between the second and third year students, which means there are 100 part-time students in the second year, and 100 part-time students in the third year.

If there are 100 part-time students in the third year, then the remaining 100 third-year students must be full-time

Answer: A

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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Re: All students in a certain law school are in either first, second, or third year,

by Scott@TargetTestPrep » Thu Jan 14, 2021 4:38 am
BTGModeratorVI wrote: ↑
Wed Jan 06, 2021 8:16 am
 All students in a certain law school are in either first, second, or third year, and there is an equal number of students in each year. All students in the school are either full-time or part-time, and there are twice as many full-time students as part-time students. All students in first year are full-time, and there are as many part-time students in second year as there are in third year. If there are 600 total students in the law school, how many are full-time students in third year?

a. 100
b. 200
c. 300
d. 400
e. 500

Answer: A
Solution:

Since there are 600 total students in the law school, there are 200 students in each year. Furthermore, there are 400 full-time and 200 part-time students. Since all students in first year are full-time, there are no students in first year who are part-time. Since there are as many part-time students in second year as there are in third year, there must be 200/2 = 100 students in third year who are part-time. Therefore, there must be 200 - 100 = 100 students in third year who are full-time.

Answer: A

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